SO:http://stackoverflow.com/questions/42489874/how-can-i-translate-routes-in-ember-cli

controllers.application.js

import Ember from 'ember';

export default Ember.Controller.extend({
  appName: 'Ember Twiddle',
  
   i18n: Ember.inject.service(),  

  locale: Ember.computed.readOnly('i18n.locale'),
  
  path: Ember.computed('locale', function() {    
    return {
      path: this.get('i18n').t('routes.register')
    };
  }),
  
  actions: {
    changeLang(lang){
      this.set('i18n.locale', lang);
      const router = Ember.getOwner(this).lookup('router:main');
      let currRoute = router.get('currentRouteName');      
      if(/^lang./.test(currRoute)){
        this.replaceRoute(currRoute, lang, this.get('path'));
      }
    }
  }
});

locales.en.config.js

export default {};

locales.en.translations.js

export default {
  "routes": {
    "register": "Register"
  }
};

locales.fa.config.js

export default {};

locales.fa.translations.js

export default {
  "routes": {
    "register": "ثبت نام"
  }
};

router.js

import Ember from 'ember';
import config from './config/environment';

const Router = Ember.Router.extend({
  location: 'none',
  rootURL: config.rootURL
});

Router.map(function() {
  this.route("lang", {path: '/:lang'}, function() {
    this.route('register', {path: ':path'});
  });
});

export default Router;

routes.lang.js

import Ember from 'ember';

export default Ember.Route.extend({
});

routes.lang.register.js

import Ember from 'ember';

export default Ember.Route.extend({
});

templates.application.hbs

<h1>Welcome to {{appName}}</h1>
<br>
<br>
<button {{action "changeLang" "en"}}>EN</button>
<button {{action "changeLang" "fa"}}>FA</button>
<br>
<br>
<br>
{{outlet}}
<br>
{{#link-to "lang.register" locale path}}{{t "routes.register"}}{{/link-to}}
<br>

twiddle.json

{
  "version": "0.11.0",
  "EmberENV": {
    "FEATURES": {}
  },
  "options": {
    "use_pods": false,
    "enable-testing": false
  },
  "dependencies": {
    "jquery": "https://cdnjs.cloudflare.com/ajax/libs/jquery/1.11.3/jquery.js",
    "ember": "2.10.2",
    "ember-data": "2.11.0",
    "ember-template-compiler": "2.10.2",
    "ember-testing": "2.10.2"
  },
  "addons": {
  "ember-i18n": "5.0.0"
  }
}