Programmatically scrolling to the end of a ListView

Screenshot:

1. Scrolling with animation:

   final ScrollController _controller = ScrollController();
   
   // This is what you're looking for!
   void _scrollDown() {
     _controller.animateTo(
       _controller.position.maxScrollExtent,
       duration: Duration(seconds: 2),
       curve: Curves.fastOutSlowIn,
     );
   }
   
   @override
   Widget build(BuildContext context) {
     return Scaffold(
       floatingActionButton: FloatingActionButton.small(
         onPressed: _scrollDown,
         child: Icon(Icons.arrow_downward),
       ),
       body: ListView.builder(
         controller: _controller,
         itemCount: 21,
         itemBuilder: (_, i) => ListTile(title: Text('Item $i')),          
       ),
     );
   }
   

2. Scrolling without animation:

   Replace above _scrollDown method with this:

   void _scrollDown() {
     _controller.jumpTo(_controller.position.maxScrollExtent);
   }
   

listViewScrollController.animateTo(listViewScrollController.position.maxScrollExtent) is the simplest way.

to get the perfect results I combined Colin Jackson and CopsOnRoad's answers as follows:

_scrollController.animateTo(
    _scrollController.position.maxScrollExtent,
    curve: Curves.easeOut,
    duration: const Duration(milliseconds: 500),
 );

If you use a shrink-wrapped ListView with reverse: true, scrolling it to 0.0 will do what you want.

import 'dart:collection';

import 'package:flutter/material.dart';

void main() {
  runApp(new MyApp());
}

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return new MaterialApp(
      title: 'Example',
      home: new MyHomePage(),
    );
  }
}

class MyHomePage extends StatefulWidget {
  @override
  _MyHomePageState createState() => new _MyHomePageState();
}

class _MyHomePageState extends State<MyHomePage> {
  List<Widget> _messages = <Widget>[new Text('hello'), new Text('world')];
  ScrollController _scrollController = new ScrollController();

  @override
  Widget build(BuildContext context) {
    return new Scaffold(
      body: new Center(
        child: new Container(
          decoration: new BoxDecoration(backgroundColor: Colors.blueGrey.shade100),
          width: 100.0,
          height: 100.0,
          child: new Column(
            children: [
              new Flexible(
                child: new ListView(
                  controller: _scrollController,
                  reverse: true,
                  shrinkWrap: true,
                  children: new UnmodifiableListView(_messages),
                ),
              ),
            ],
          ),
        ),
      ),
      floatingActionButton: new FloatingActionButton(
        child: new Icon(Icons.add),
        onPressed: () {
          setState(() {
            _messages.insert(0, new Text("message ${_messages.length}"));
          });
          _scrollController.animateTo(
            0.0,
            curve: Curves.easeOut,
            duration: const Duration(milliseconds: 300),
          );
        }
      ),
    );
  }
}