props "connectNulls" of <Line />

HTML

<script src="https://cdnjs.cloudflare.com/ajax/libs/babel-core/5.8.24/browser.js"></script>
<script src="https://npmcdn.com/[email protected]/dist/react-with-addons.min.js"></script>
<script src="https://npmcdn.com/[email protected]/dist/react-dom.min.js"></script>
<script src="https://npmcdn.com/prop-types/prop-types.min.js"></script>
<script src="https://npmcdn.com/recharts/umd/Recharts.min.js"></script>
<div id="container">
    <!-- This element's contents will be replaced with your component. -->
</div>

CSS

body {
  margin: 0;
}
#container {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
  padding: 10px;
  width: 800px;
  height: 800px;
  background-color: #fff;
}

Babel + JSX

const {LineChart, Line, XAxis, YAxis, CartesianGrid, Tooltip} = Recharts;
const data = [
      {name: 1, uv: 2},
      {name: 2, uv: 5},
      {name: 3, uv: 10},
  
];

const points = [
{x: 1, y: 4, value: 3},
{x: 2, y: 5, value: 6},
{x: 3, y: 6, value: 9},
]
const SimpleAreaChart = React.createClass({
	render () {
  	return (
    	<div>
        
        <LineChart width={600} height={200} data={data}
              margin={{top: 10, right: 30, left: 0, bottom: 0}}>
          <CartesianGrid strokeDasharray="3 3"/>
          <XAxis dataKey="name"/>
          <YAxis/>
          <Tooltip/>
          <Line points={points} type='monotone' dataKey='uv'  fill='#8884d8' />
        </LineChart>
      </div>
    );
  }
})

ReactDOM.render(
  <SimpleAreaChart />,
  document.getElementById('container')
);