AndroidManifest.xml

<manifest xmlns:android="http://schemas.android.com/apk/res/android"
    package="com.statusbar"
    android:versionCode="1"
    android:versionName="1.0">

    <uses-permission android:name="android.permission.INTERNET" />
    <uses-permission android:name="android.permission.SYSTEM_ALERT_WINDOW"/>

    <uses-sdk
        android:minSdkVersion="16"
        android:targetSdkVersion="22" />

    <application
      android:name=".MainApplication"
      android:allowBackup="true"
      android:label="@string/app_name"
      android:icon="@mipmap/ic_launcher"
      android:theme="@style/AppTheme">
      <activity
        android:name=".MainActivity"
        android:launchMode="singleTask"
        android:label="@string/app_name"
        android:configChanges="keyboard|keyboardHidden|orientation|screenSize"
        android:windowSoftInputMode="adjustResize">
        <intent-filter>
            <action android:name="android.intent.action.VIEW" />
            <action android:name="android.intent.action.MAIN" />
            <category android:name="android.intent.category.DEFAULT" />
            <category android:name="android.intent.category.LAUNCHER" />
            <category android:name="android.intent.category.BROWSABLE" />
            <data android:scheme="testapp" android:host="testapp" />
            <data android:scheme="testapp" android:host="testapp2" />
        </intent-filter>
      </activity>
      <activity android:name="com.facebook.react.devsupport.DevSettingsActivity" />
    </application>

</manifest>

App.js

import React from 'react';
import { StyleSheet, Text, View, Slider, StatusBar, Linking } from 'react-native';

export default class App extends React.Component {
  constructor(props) {
    super(props);
    this.state = {
      url: '?'
    }
    this._handle = this._handleOpenURL.bind(this);
  }

  componentDidMount() {
    Linking.addEventListener('url', this._handle);
  }
  componentWillUnmount() {
    Linking.removeEventListener('url', this._handle);
  }

  _handleOpenURL(event) {
    this.setState(() => ({url: event.url}))
  }

  _open(url) {
    Linking.openURL(url).then(value => {
      console.log('open', value)
    }).catch(e => {
      console.log('error', e)
    })
  }

  render() {
    const {url} = this.state;
    return (
      <View style={styles.container}>
        <StatusBar
          translucent={true}
          barStyle='dark-content'
          backgroundColor='transparent' />
        <Text
          style={styles.text}
          onPress={this._open.bind(this, 'testapp://testapp')}>
          URL1!
        </Text>
        <Text
          style={styles.text}
          onPress={this._open.bind(this, 'testapp://testapp2')}>
          URL2!
        </Text>
        <Text style={styles.text}>{url}</Text>
      </View>
    );
  }
}

const styles = StyleSheet.create({
  container: {
    flex: 1,
    flexDirection: 'column',
    justifyContent: 'center'
  },
  text: {
    textAlign: 'center',
    lineHeight: 30
  }
});

styles.xml

<resources>

    <!-- Base application theme. -->
    <style name="AppTheme" parent="Theme.AppCompat.Light.NoActionBar">
        <!-- Customize your theme here. -->
    </style>

</resources>