React Native pass function to child component as prop

// Parent

handleClick( name ){
   alert(name);
}

<Child func={this.handleClick.bind(this)} />

// Children

let { func } = this.props;

func( 'VARIABLE' );

Solution

Use arrow function for no care about binding this.

And I recommend to check null before calling the props method.

App.js

export default class App extends Component<Props> {
  constructor () {
    super();
  }

  handlePress = () => {
    // Do what you want. 
  }

  render () {
    return (
      <View>
        <TouchableButton onPress={this.handlePress}/>
      </View>
    );
  }
}

TouchableButton.js

import React, { Component } from 'react';
import { TouchableHighlight } from 'react-native';
import AppButton from "./app-button";

export default class TouchableButton extends Component {
  constructor(props){
    super(props);
  }
  
  handlePress = () => {
    // Need to check to prevent null exception. 
    this.props.onPress?.(); // Same as this.props.onPress && this.props.onPress();
  }

  render () {
    return (
      <TouchableHighlight onPress={this.handlePress}>
        <AppButton/>
      </TouchableHighlight>
    );
  }
}

When writing handlePress={this.handlePress.bind(this)} you passing a statement execution ( which when and if executed returns a function). What is expected is to pass the function itself either with handlePress={this.handlePress} (and do the binding in the constructor) or handlePress={() => this.handlePress()} which passes an anonymous function which when executed will execute handlePress in this class context.