React Native Responsive Font Size

You can use PixelRatio

For example:

var React = require('react-native');

var {StyleSheet, PixelRatio} = React;

var FONT_BACK_LABEL   = 18;

if (PixelRatio.get() <= 2) {
  FONT_BACK_LABEL = 14;
}

var styles = StyleSheet.create({
  label: {
    fontSize: FONT_BACK_LABEL
  }
});

Edit:

Another example:

import { Dimensions, Platform, PixelRatio } from 'react-native';

const {
  width: SCREEN_WIDTH,
  height: SCREEN_HEIGHT,
} = Dimensions.get('window');

// based on iphone 5s's scale
const scale = SCREEN_WIDTH / 320;

export function normalize(size) {
  const newSize = size * scale 
  if (Platform.OS === 'ios') {
    return Math.round(PixelRatio.roundToNearestPixel(newSize))
  } else {
    return Math.round(PixelRatio.roundToNearestPixel(newSize)) - 2
  }
}

Usage:

fontSize: normalize(24)

You can go one step further by allowing sizes to be used on every <Text /> components by pre-defined sized.

Example:

const styles = {
  mini: {
    fontSize: normalize(12),
  },
  small: {
    fontSize: normalize(15),
  },
  medium: {
    fontSize: normalize(17),
  },
  large: {
    fontSize: normalize(20),
  },
  xlarge: {
    fontSize: normalize(24),
  },
};