works with TypeScript 3.0.1 and "react-table": "^6.8.6"

react-table.d.ts

declare module 'react-table' {

	type AccessorFunction = (row: object) => any
	type Accessor = string | string[] | object | AccessorFunction
	type Aggregator = (values: any, rows: any) => any
	type TableCellRenderer = ((data: any, column: any) => React.ReactNode) | React.ReactNode
	type FilterRender = (params: { column: Column, filter: any, onFilterChange: Function, key?: string }) => React.ReactElement<any>

	type ComponentPropsGetter0 = (finalState: any, rowInfo: undefined, column: undefined, instance?: ReactTable) => object | undefined
	type ComponentPropsGetterR = (finalState: any, rowInfo?: RowInfo, column?: undefined, instance?: ReactTable) => object | undefined
	type ComponentPropsGetterC = (finalState: any, rowInfo?: undefined, column?: Column, instance?: ReactTable) => object | undefined
	type ComponentPropsGetterRC = (finalState: any, rowInfo?: RowInfo, column?: Column, instance?: ReactTable) => object | undefined

	/** NOTE: to many configuration ways (only true values are confusing) */
	interface SortingRule {
		id: string
		sort?: 'desc' | 'asc'
		asc?: true
		desc?: true
	}

	interface TableProps extends
		Partial<TextProps>,
		Partial<ComponentDecoratorProps>,
		Partial<ControlledStateCallbackProps>,
		Partial<PivotingProps>,
		Partial<ControlledStateOverrideProps>,
		Partial<ComponentProps> {
		/** Default: [] */
		data: any[]

		/** Default: false */
		loading: boolean

		/** Default: false */
		showPagination: boolean

		/** Default: false */
		manual: boolean

		/** Default: false */
		showPageSizeOptions: boolean

		/** Default: [5, 10, 20, 25, 50, 100] */
		pageSizeOptions: number[]

		/** Default: 20 */
		defaultPageSize: number

        /**
         * Default: undefined
         * Otherwise take value from 'pageSize' if defined
         * @TODO: add minRows to react-table defaultProps even if undefined
         */
		minRows: number

		/** Default: true */
		showPageJump: boolean

		/** Default: true */
		collapseOnSortingChange: boolean

		/** Default: true */
		collapseOnPageChange: boolean

		/** Default: true */
		collapseOnDataChange: boolean

		/** Default: false */
		freezeWhenExpanded: boolean

		/** Default: [] */
		defaultSorting: SortingRule[]

		/** Default: false */
		showFilters: boolean

		/** Default: [] */
		defaultFiltering: any[]

		/** Default: ... */
		defaultFilterMethod: (filter: any, row: any, column: any) => boolean

		/** Default: true */
		resizable: boolean

		/** Default: [] */
		defaultResizing: any[]

		/** On change. */
		onChange: () => null

        /**
         * Default: ''
         * Adding a -striped className to ReactTable will slightly color odd numbered rows for legibility
         * Adding a -highlight className to ReactTable will highlight any row as you hover over it
         */
		className: string

		/** Default: {} */
		style: object

		/** Global Column Defaults */
		column: Partial<GlobalColumn>

		/** Array of all Available Columns */
		columns?: Column[]

		/** Expander defaults. */
		expanderDefaults: Partial<ExpanderDefaults>

		/** Privot defaults. */
		pivotDefaults: Partial<PivotDefaults>
	}

	interface ControlledStateOverrideProps {
		/** Default: undefined */
		page: number

		/** Default: undefined */
		pageSize: number

		/** Default: undefined */
		sorting: number

		/** Sub component */
		SubComponent: (rowInfo: RowInfo) => React.ReactNode
	}

	interface PivotingProps {
		/** Default: undefined */
		pivotBy: string[]

		/** Default: 200 */
		pivotColumnWidth: number

		/** Default: _pivotVal */
		pivotValKey: string

		/** Default: _pivotID */
		pivotIDKey: string

		/** Default: _subRows */
		subRowsKey: string

        /**
         * Default: {} - Pivoting State Overrides (see Fully Controlled Component section)
         * @example { 4: true }
         * @example { 5: { 9: true }, 10: true }
         */
		expandedRows: ExpandedRows

		/** Default: ??? - Pivoting State Callbacks */
		onExpandRow: Function
	}

	interface ExpandedRows {
		[idx: number]: boolean | ExpandedRows
	}

	interface ControlledStateCallbackProps {
		//onExpandSubComponent: Function
		onPageChange: (page: number) => void
		onPageSizeChange: (newPageSize: number, newPage: number) => void
		onSortingChange: (column: any, additive: boolean) => void
		onFilteringChange: (column: any, value: any, pivotColumn: any) => void
		onResize: (column: any, event: any, isTouch: boolean) => void
	}

	interface ComponentDecoratorProps {
		getProps: ComponentPropsGetterRC | ComponentPropsGetterC | ComponentPropsGetter0
		getTableProps: ComponentPropsGetter0
		getTheadGroupProps: ComponentPropsGetter0
		getTheadGroupTrProps: ComponentPropsGetter0
		getTheadGroupThProps: ComponentPropsGetterC
		getTheadProps: ComponentPropsGetter0
		getTheadTrProps: ComponentPropsGetter0
		getTheadThProps: ComponentPropsGetterC
		getTheadFilterProps: ComponentPropsGetter0
		getTheadFilterTrProps: ComponentPropsGetter0
		getTheadFilterThProps: ComponentPropsGetterC
		getTbodyProps: ComponentPropsGetter0
		getTrGroupProps: ComponentPropsGetterR | ComponentPropsGetter0
		getTrProps: ComponentPropsGetterR | ComponentPropsGetter0

        /**
         * @TODO not exists in react-table but in the docs
         */
		//getThProps: ComponentPropsGetter
		getTdProps: ComponentPropsGetterRC | ComponentPropsGetterR
		getTfootProps: ComponentPropsGetter0
		getTfootTrProps: ComponentPropsGetter0

        /**
         * @TODO not exists in react-table but in the docs
         */
		//getTfootThProps: ComponentPropsGetter
		getPaginationProps: ComponentPropsGetter0
		getLoadingProps: ComponentPropsGetter0
		getNoDataProps: ComponentPropsGetter0
		getResizerProps: ComponentPropsGetter0
	}

	interface ComponentProps {
		TableComponent: React.ReactType
		TheadComponent: React.ReactType
		TbodyComponent: React.ReactType
		TrGroupComponent: React.ReactType
		TrComponent: React.ReactType
		ThComponent: React.ReactType
		TdComponent: React.ReactType
		TfootComponent: React.ReactType
		ExpanderComponent: React.ReactType
		PaginationComponent: React.ReactType
		PreviousComponent: React.ReactType
		NextComponent: React.ReactType
		LoadingComponent: React.ReactType
		NoDataComponent: React.ReactType
		ResizerComponent: React.ReactType
	}

	interface TextProps {
		/** Default: 'Previous' */
		previousText: string

		/** Default: 'Next' */
		nextText: string

		/** Default: 'Loading...' */
		loadingText: string

		/** Default: 'No rows found' */
		noDataText: string

		/** Default: 'Page' */
		pageText: string

		/** Default: 'of' */
		ofText: string

		/** Default: 'rows' */
		rowsText: string
	}

	interface GlobalColumn extends
		Column.Basics,
		Column.CellProps,
		Column.FilterProps,
		Column.FooterProps,
		Column.HeaderProps {

	}

	module Column {
		/** Basic column props */
		interface Basics {
			/** Default: true */
			sortable: boolean

			/** Default: true */
			show: boolean

			/** Default: 100 */
			minWidth: number
		}

		/** Configuration of a columns cell section */
		interface CellProps {
            /**
             * Default: undefined
             * A function that returns a primitive, or JSX / React Component
             *
             * @example 'Cell Value'
             * @example ({data, column}) => <div>Cell Value</div>,
             */
			render: TableCellRenderer

            /**
             * Set the classname of the `td` element of the column
             * @default ''
             */
			className: ''

            /**
             * Set the style of the `td` element of the column
             * @default {}
             */
			style: object

            /**
             * @default () => ({})
             */
			getProps: Function
		}

		/** Configuration of a columns header section */
		interface HeaderProps {
            /**
             * Default: undefined
             * A function that returns a primitive, or JSX / React Component
             *
             * @example 'Header Name'
             * @example ({data, column}) => <div>Header Name</div>,
             */
			header: TableCellRenderer

            /**
             * Set the classname of the `th` element of the column
             * @default ''
             */
			headerClassName: ''

            /**
             * Default: {}
             * Set the style of the `th` element of the column
             */
			headerStyle: object

            /**
             * Default: (state, rowInfo, column, instance) => ({})
             * A function that returns props to decorate the `th` element of the column
             */
			getHeaderProps: Function
		}

		/** Configuration of a columns footer section */
		interface FooterProps {
            /**
             * Default: undefined
             * A function that returns a primitive, or JSX / React Component
             *
             * @example 'Footer Name'
             * @example ({data, column}) => <div>Footer Name</div>,
             */
			footer: TableCellRenderer

            /**
             * Default: ''
             * Set the classname of the `td` element of the column's footer
             */
			footerClassName: ''

            /**
             * Default: {}
             * Set the style of the `td` element of the column's footer
             */
			footerStyle: object

            /**
             * Default: (state, rowInfo, column, instance) => ({})
             * A function that returns props to decorate the `th` element of the column
             */
			getFooterProps: Function
		}

		/** Filtering related column props */
		interface FilterProps {
			/** Default: undefined */
			filterMethod: Function

			/** Default: false */
			hideFilter: boolean

			/** Default: ... */
			filterRender: FilterRender
		}
	}

	interface ExpanderDefaults {
		/** Default: false */
		sortable: boolean

		/** Default: 35 */
		width: number

		/** Default: true */
		hideFilter: boolean

		/** Will be overriden in methods.js to display ExpanderComponent */
		render: TableCellRenderer
	}

	interface PivotDefaults {
		/** Will be overriden in methods.js to display ExpanderComponent */
		render: TableCellRenderer
	}

	interface Column extends
		Partial<Column.Basics>,
		Partial<Column.CellProps>,
		Partial<Column.FilterProps>,
		Partial<Column.FooterProps>,
		Partial<Column.HeaderProps> {
        /**
         * Property name as string or Accessor
         * @example: 'myProperty'
         * @example ["a.b", "c"]
         * @example ["a", "b", "c"]
         * @example {"a": {"b": {"c": $}}}
         * @example (row) => row.propertyName
         */
		accessor?: Accessor

        /**
         * Conditional - A unique ID is required if the accessor is not a string or if you would like to override the column name used in server-side calls
         * @example 'myProperty'
         */
		id?: string

        /**
         * No description
         * @example (values, rows) => _.round(_.mean(values))
         * @example (values, rows) => _.sum(values)
         */
		aggregate?: Aggregator

        /**
         * Default: undefined - A hardcoded width for the column. This overrides both min and max width options
         */
		width?: number

        /**
         * Default: undefined - A maximum width for this column.
         * @default undefined
         */
		maxWidth?: number

        /**
         * Turns this column into a special column for specifying expander and pivot column options.
         * If this option is true and there is NOT a pivot column, the `expanderDefaults` options will be applied on top of the column options.
         * If this option is true and there IS a pivot column, the `pivotDefaults` options will be applied on top of the column options.
         * Adding a column with the `expander` option set will allow you to rearrange expander and pivot column orderings in the table.
         * It will also let you specify rendering of the header (and header group if this special column is placed in the `columns` option of another column) and the rendering of the expander itself.
         */
		expander?: boolean

		/** Header Groups only */
		columns?: any[]
	}

	interface ColumnRenderProps {
		/** Sorted data. */
		data: any[]

		/** The column. */
		column: Column
	}

	interface RowRenderProps extends Partial<RowInfo> {
		/** Whenever the current row is expanded */
		isExpanded?: boolean

		/** The current cell value */
		value?: any
	}

	interface RowInfo {
		/** Original row from your data */
		row: any

		/** The post-accessed values from the original row */
		rowValues: any

		/** The index of the row */
		index: number

		/** The index of the row relative to the current page */
		viewIndex: number

		/** The nesting depth (zero-indexed) */
		level: number

		/** The nesting path of the row */
		nestingPath: number[]

		/** A boolean stating if the row is an aggregation row */
		aggregated: boolean

		/** An array of any expandable sub-rows contained in this row */
		subRows: any[]
	}

	interface FinalState extends TableProps {
		startRow: number
		endRow: number
		pageRows: number
		padRows: number
		hasColumnFooter: boolean
		canPrevious: boolean
		canNext: boolean
		rowMinWidth: number
    }
    
    class ReactTable extends React.Component<Partial<TableProps>> {
    }

    export default ReactTable

}

Import with statement:

import ReactTable from 'react-table'