expo install react-native-svg
yarn add --dev @hitbit/expo-svg-transformer @expo/webpack-config

app.json

"packagerOpts": {
  "config": "metro.config.js",
  "sourceExts": ["js", "jsx", "ts", "tsx", "svg"]
}

metro.config.js

const { getDefaultConfig } = require('metro-config');

module.exports = (async () => {
  const { resolver: defaultResolver } = await getDefaultConfig();
  const { sourceExts, assetExts } = defaultResolver;

  return {
    transformer: {
      babelTransformerPath: require.resolve('@hitbit/expo-svg-transformer'),
    },
    resolver: {
      assetExts: assetExts.filter(ext => ext !== 'svg'),
      sourceExts: [...sourceExts, 'svg'],
    },
  };
})();

webpack.config.js

const createExpoWebpackConfigAsync = require('@expo/webpack-config');

const svgRule = {
  test: /\.svg$/,
  exclude: /node_modules/,
  use: [
    'babel-loader',
    '@hitbit/expo-svg-transformer',
  ],
};

module.exports = async (env, argv) => {
  const expoWebpackConfig = await createExpoWebpackConfigAsync(env, argv);

  expoWebpackConfig.module.rules[1].oneOf.unshift(svgRule);

  return expoWebpackConfig;
};

App.js

import React from 'react';
import { View } from 'react-native';
import Logo from './assets/Logo.svg';

export default function App() {
  return (
    <View style={{ flex: 1, alignItems: 'center', justifyContent: 'center' }}>
      <Logo height={50} width={50} />
    </View>
  );
}

Without Expo

1. yarn add react-native-svg && yarn add --dev @hitbit/expo-svg-transformer
2. Use the same metro.config.js