syntax highlighting for react code in sublime

I'm started writing some basic React code in sublime text. Here is what my syntax highlighting looks like. Its partly highlighted. Is there any suggested sublime plugin i can use to see a complete syntax highlight?

import React, { Component } from 'react'
import { connect } from 'react-redux'   // <-- is the glue between react and redux
import { bindActionCreators } from 'redux'
import { selectBook } from '../actions/index'

// there is no intrinsic connection between React and Redux
// they are two seperate libraries
// they are connected using a seperate library called ReactRedux

// container? its a React component that hasa direct connection to state managed by Redux
class BookList extends Component {

    constructor(props) {
        super(props)
        //this.props = props;
    }

    renderList() {
        return this.props.books.map((book) => {
            return (
                <li key={book.title} className="list-group-item">{book.title}</li>
            )
        })
    }

    render() {
        return (
            <ul className="list-group col-sm-4">
                {this.renderList()}
            </ul>
        )
    }

}

// function is the glue between react and redux
function mapStateToProps(state) {
    // Whatever gets retrieved from here will show up as props inside
    // of book-list

    return {
        books: state.books
    }
}

// anything returned from this function will end up as props on the BookList container
function mapDispatchToProps(dispatch) {
    return bindActionCreators({selectBook: selectBook}, dispatch)
}

// Promote BookList from a component to a container - it needs to know
// about this new dispatch method, selectBook. Make it available as a prop
export default connect(mapStateToProps, mapDispatchToProps)(BookList);

EDIT: [Fixed some incorrect syntax, Added code text]

Installing babel fixes the syntax highlighting.

Steps to install babel on sublime3:

For windows: Press Ctrl+Shift+P For mac: Cmd+Shift+P
Then type install and select Package control: Install Package
Then type Babel and select 'Babel-Snippets'. It will install babel in few moments.
Then set the Babel syntax in Sublime3 Editor from: View > Syntax > Babel > Javascript

For some users, Babel was missing in step 4. They can additionally install Babel by following the same steps and selecting Babel this time instead of Babel-Snippets in step3.

Check I tested it: