Props "connectNulls" of <Area />

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 {AreaChart, Area, XAxis, YAxis, CartesianGrid, Tooltip} = Recharts;
const data = [
      {name: 'Page A', uv: 4000},
      {name: 'Page B', uv: 3000},
      {name: 'Page C', uv: 2000},
      {name: 'Page D'},
      {name: 'Page E', uv: 1890},
      {name: 'Page F', uv: 2390},
      {name: 'Page G', uv: 3490},
];
const SimpleAreaChart = React.createClass({
	render () {
  	return (
    	<div>
        <AreaChart width={600} height={200} data={data}
              margin={{top: 10, right: 30, left: 0, bottom: 0}}>
          <CartesianGrid strokeDasharray="3 3"/>
          <XAxis dataKey="name"/>
          <YAxis/>
          <Tooltip/>
          <Area type='monotone' dataKey='uv' stroke='#8884d8' fill='#8884d8' />
        </AreaChart>
        <AreaChart width={600} height={200} data={data}
              margin={{top: 10, right: 30, left: 0, bottom: 0}}>
          <CartesianGrid strokeDasharray="3 3"/>
          <XAxis dataKey="name"/>
          <YAxis/>
          <Tooltip/>
          <Area connectNulls={false} type='monotone' dataKey='uv' stroke='#8884d8' fill='#8884d8' />
        </AreaChart>
      </div>
    );
  }
})

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