package.json

{
  "devDependencies": {
    "@types/react": "^16.0.20",
    "@types/react-dom": "^16.0.2",
    "typescript": "^2.6.1"
  },
  "dependencies": {
    "styled-components": "^2.2.3"
  }
}

repro.tsx

import * as React from 'react';
import styled from 'styled-components';

export interface MyCompProps  { 
    className: string;
}

export class MyComp extends React.Component<MyCompProps> {
    public render() {
        return (
            <div className={this.props.className}>
               Hello
            </div>
        );
    }
}

const MyCompStyled = styled(MyComp) `
    background: red;
`;

export default MyCompStyled;
  

tsconfig.json

{
  "compilerOptions": {
      "outDir": "dist",
      "target": "es6",
      "module": "es2015",
      "declaration": false, // <-- changed here
      "sourceMap": true,
      "noImplicitAny": true,
      "strictNullChecks": true,
      "noUnusedLocals": true,
      "removeComments": true,
      "jsx": "react",
      "moduleResolution": "node",
      "strict": true,
      "baseUrl": "."
  },
  "include": [
      "**/*.tsx" // <-- changed here
  ],
  "exclude": [
      "node_modules"
  ]
}

yarn.lock

# THIS IS AN AUTOGENERATED FILE. DO NOT EDIT THIS FILE DIRECTLY.
# yarn lockfile v1


"@types/node@*":
  version "8.0.47"
  resolved "https://registry.yarnpkg.com/@types/node/-/node-8.0.47.tgz#968e596f91acd59069054558a00708c445ca30c2"

"@types/react-dom@^16.0.2":
  version "16.0.2"
  resolved "https://registry.yarnpkg.com/@types/react-dom/-/react-dom-16.0.2.tgz#2da9de21fd83f0140b64794ad9c47930230aedae"
  dependencies:
    "@types/node" "*"
    "@types/react" "*"

"@types/react@*", "@types/react@^16.0.20":
  version "16.0.20"
  resolved "https://registry.yarnpkg.com/@types/react/-/react-16.0.20.tgz#dc16feb9c0bdf50e439482c6fd3c43d5a1d9f3b1"

asap@~2.0.3:
  version "2.0.6"
  resolved "https://registry.yarnpkg.com/asap/-/asap-2.0.6.tgz#e50347611d7e690943208bbdafebcbc2fb866d46"

base64-js@^1.0.2:
  version "1.2.1"
  resolved "https://registry.yarnpkg.com/base64-js/-/base64-js-1.2.1.tgz#a91947da1f4a516ea38e5b4ec0ec3773675e0886"

buffer@^5.0.3:
  version "5.0.8"
  resolved "https://registry.yarnpkg.com/buffer/-/buffer-5.0.8.tgz#84daa52e7cf2fa8ce4195bc5cf0f7809e0930b24"
  dependencies:
    base64-js "^1.0.2"
    ieee754 "^1.1.4"

core-js@^1.0.0:
  version "1.2.7"
  resolved "https://registry.yarnpkg.com/core-js/-/core-js-1.2.7.tgz#652294c14651db28fa93bd2d5ff2983a4f08c636"

css-color-keywords@^1.0.0:
  version "1.0.0"
  resolved "https://registry.yarnpkg.com/css-color-keywords/-/css-color-keywords-1.0.0.tgz#fea2616dc676b2962686b3af8dbdbe180b244e05"

css-to-react-native@^2.0.3:
  version "2.0.4"
  resolved "https://registry.yarnpkg.com/css-to-react-native/-/css-to-react-native-2.0.4.tgz#cf4cc407558b3474d4ba8be1a2cd3b6ce713101b"
  dependencies:
    css-color-keywords "^1.0.0"
    fbjs "^0.8.5"
    postcss-value-parser "^3.3.0"

encoding@^0.1.11:
  version "0.1.12"
  resolved "https://registry.yarnpkg.com/encoding/-/encoding-0.1.12.tgz#538b66f3ee62cd1ab51ec323829d1f9480c74beb"
  dependencies:
    iconv-lite "~0.4.13"

fbjs@^0.8.16, fbjs@^0.8.5, fbjs@^0.8.9:
  version "0.8.16"
  resolved "https://registry.yarnpkg.com/fbjs/-/fbjs-0.8.16.tgz#5e67432f550dc41b572bf55847b8aca64e5337db"
  dependencies:
    core-js "^1.0.0"
    isomorphic-fetch "^2.1.1"
    loose-envify "^1.0.0"
    object-assign "^4.1.0"
    promise "^7.1.1"
    setimmediate "^1.0.5"
    ua-parser-js "^0.7.9"

has-flag@^1.0.0:
  version "1.0.0"
  resolved "https://registry.yarnpkg.com/has-flag/-/has-flag-1.0.0.tgz#9d9e793165ce017a00f00418c43f942a7b1d11fa"

hoist-non-react-statics@^1.2.0:
  version "1.2.0"
  resolved "https://registry.yarnpkg.com/hoist-non-react-statics/-/hoist-non-react-statics-1.2.0.tgz#aa448cf0986d55cc40773b17174b7dd066cb7cfb"

iconv-lite@~0.4.13:
  version "0.4.19"
  resolved "https://registry.yarnpkg.com/iconv-lite/-/iconv-lite-0.4.19.tgz#f7468f60135f5e5dad3399c0a81be9a1603a082b"

ieee754@^1.1.4:
  version "1.1.8"
  resolved "https://registry.yarnpkg.com/ieee754/-/ieee754-1.1.8.tgz#be33d40ac10ef1926701f6f08a2d86fbfd1ad3e4"

is-function@^1.0.1:
  version "1.0.1"
  resolved "https://registry.yarnpkg.com/is-function/-/is-function-1.0.1.tgz#12cfb98b65b57dd3d193a3121f5f6e2f437602b5"

is-plain-object@^2.0.1:
  version "2.0.4"
  resolved "https://registry.yarnpkg.com/is-plain-object/-/is-plain-object-2.0.4.tgz#2c163b3fafb1b606d9d17928f05c2a1c38e07677"
  dependencies:
    isobject "^3.0.1"

is-stream@^1.0.1:
  version "1.1.0"
  resolved "https://registry.yarnpkg.com/is-stream/-/is-stream-1.1.0.tgz#12d4a3dd4e68e0b79ceb8dbc84173ae80d91ca44"

isobject@^3.0.1:
  version "3.0.1"
  resolved "https://registry.yarnpkg.com/isobject/-/isobject-3.0.1.tgz#4e431e92b11a9731636aa1f9c8d1ccbcfdab78df"

isomorphic-fetch@^2.1.1:
  version "2.2.1"
  resolved "https://registry.yarnpkg.com/isomorphic-fetch/-/isomorphic-fetch-2.2.1.tgz#611ae1acf14f5e81f729507472819fe9733558a9"
  dependencies:
    node-fetch "^1.0.1"
    whatwg-fetch ">=0.10.0"

js-tokens@^3.0.0:
  version "3.0.2"
  resolved "https://registry.yarnpkg.com/js-tokens/-/js-tokens-3.0.2.tgz#9866df395102130e38f7f996bceb65443209c25b"

loose-envify@^1.0.0, loose-envify@^1.3.1:
  version "1.3.1"
  resolved "https://registry.yarnpkg.com/loose-envify/-/loose-envify-1.3.1.tgz#d1a8ad33fa9ce0e713d65fdd0ac8b748d478c848"
  dependencies:
    js-tokens "^3.0.0"

node-fetch@^1.0.1:
  version "1.7.3"
  resolved "https://registry.yarnpkg.com/node-fetch/-/node-fetch-1.7.3.tgz#980f6f72d85211a5347c6b2bc18c5b84c3eb47ef"
  dependencies:
    encoding "^0.1.11"
    is-stream "^1.0.1"

object-assign@^4.1.0, object-assign@^4.1.1:
  version "4.1.1"
  resolved "https://registry.yarnpkg.com/object-assign/-/object-assign-4.1.1.tgz#2109adc7965887cfc05cbbd442cac8bfbb360863"

postcss-value-parser@^3.3.0:
  version "3.3.0"
  resolved "https://registry.yarnpkg.com/postcss-value-parser/-/postcss-value-parser-3.3.0.tgz#87f38f9f18f774a4ab4c8a232f5c5ce8872a9d15"

promise@^7.1.1:
  version "7.3.1"
  resolved "https://registry.yarnpkg.com/promise/-/promise-7.3.1.tgz#064b72602b18f90f29192b8b1bc418ffd1ebd3bf"
  dependencies:
    asap "~2.0.3"

prop-types@^15.5.4:
  version "15.6.0"
  resolved "https://registry.yarnpkg.com/prop-types/-/prop-types-15.6.0.tgz#ceaf083022fc46b4a35f69e13ef75aed0d639856"
  dependencies:
    fbjs "^0.8.16"
    loose-envify "^1.3.1"
    object-assign "^4.1.1"

setimmediate@^1.0.5:
  version "1.0.5"
  resolved "https://registry.yarnpkg.com/setimmediate/-/setimmediate-1.0.5.tgz#290cbb232e306942d7d7ea9b83732ab7856f8285"

styled-components@^2.2.3:
  version "2.2.3"
  resolved "https://registry.yarnpkg.com/styled-components/-/styled-components-2.2.3.tgz#154575c269880c840f903f580287dab155cf684c"
  dependencies:
    buffer "^5.0.3"
    css-to-react-native "^2.0.3"
    fbjs "^0.8.9"
    hoist-non-react-statics "^1.2.0"
    is-function "^1.0.1"
    is-plain-object "^2.0.1"
    prop-types "^15.5.4"
    stylis "3.x"
    supports-color "^3.2.3"

stylis@3.x:
  version "3.4.0"
  resolved "https://registry.yarnpkg.com/stylis/-/stylis-3.4.0.tgz#55c6530ebceeca5976d54fb4adc67578afee828d"

supports-color@^3.2.3:
  version "3.2.3"
  resolved "https://registry.yarnpkg.com/supports-color/-/supports-color-3.2.3.tgz#65ac0504b3954171d8a64946b2ae3cbb8a5f54f6"
  dependencies:
    has-flag "^1.0.0"

typescript@^2.6.1:
  version "2.6.1"
  resolved "https://registry.yarnpkg.com/typescript/-/typescript-2.6.1.tgz#ef39cdea27abac0b500242d6726ab90e0c846631"

ua-parser-js@^0.7.9:
  version "0.7.17"
  resolved "https://registry.yarnpkg.com/ua-parser-js/-/ua-parser-js-0.7.17.tgz#e9ec5f9498b9ec910e7ae3ac626a805c4d09ecac"

whatwg-fetch@>=0.10.0:
  version "2.0.3"
  resolved "https://registry.yarnpkg.com/whatwg-fetch/-/whatwg-fetch-2.0.3.tgz#9c84ec2dcf68187ff00bc64e1274b442176e1c84"