ReactJS - Is there a way to trigger a method by pressing the 'Enter' key inside <input/>?

What you can do is use React's key events like so:

<input
    placeholder='Enter name'
    onChange={this.textChange.bind(this)}
    value={this.state.name} 
    onKeyPress={this.enterPressed.bind(this)}
/>

Now, to detect enter key, change the enterPressed function to:

enterPressed(event) {
    var code = event.keyCode || event.which;
    if(code === 13) { //13 is the enter keycode
        //Do stuff in here
    } 
}

So what this does is add an event listener to the input element. See React's Keyboard Events. The function enterPressed is then triggered on event, and now enterPressed detects the key code, and if it's 13, do some things.

Here's a fiddle demonstrating the event.

Note: The onKeyPress and onKeyDown events trigger instantaneously on user press. You can use onKeyUp to combat this.

Use onKeyPress and the resulting event object's key property, which is normalised cross-browser for you by React:

<meta charset="UTF-8">
<script src="https://unpkg.com/[email protected]/dist/react.js"></script>
<script src="https://unpkg.com/[email protected]/dist/react-dom.js"></script>
<script src="https://unpkg.com/[email protected]/browser-polyfill.min.js"></script>
<script src="https://unpkg.com/[email protected]/browser.min.js"></script>
<div id="app"></div>
<script type="text/babel">

var App = React.createClass({
  getInitialState() {
    return {
      name: ''
    }
  },
  handleChange(e) {
    this.setState({name: e.target.value})
  },
  handleKeyPress(e) {
    if (e.key === 'Enter') {
      alert('Enter pressed')
    }
  },
  render() {
    return <input
      placeholder='Enter name'
      onChange={this.handleChange}
      onKeyPress={this.handleKeyPress}
      value={this.state.name}
    />
  }
})

ReactDOM.render(<App/>, document.querySelector('#app'))

</script>