我遇到了同样的问题.以下是适用于我的解决方案:

I faced with the same problem. Below is solution that works for me:

class Person {
  String name;
  int age;
  num hight;
  Person({this.name, this.age, this hight});
}

class HomePageState extends State<HomePage> {
  bool _sortNameAsc = true;
  bool _sortAgeAsc = true;
  bool _sortHightAsc = true;
  bool _sortAsc = true;
  int _sortColumnIndex;
  List<Person> _persons;

  @override
  initState() {
    super.initState();
    _persons = [
      Person(
        name: 'George',
        age: 18,
        height: 173,
      ),
      Person(
        name: 'Dave',
        age: 21,
        height: 183,
      ),
      Person(
        name: 'Sam',
        age: 55,
        height: 170,
      ),
    ];
  }

  @override
  Widget build(BuildContext context) {
    var myColumns = [
      DataColumn(
        label:  Text('name'),
        onSort: (columnIndex, sortAscending) {
          setState(() {
            if (columnIndex == _sortColumnIndex) {
              _sortAsc = _sortNameAsc = sortAscending;
            } else {
              _sortColumnIndex = columnIndex;
              _sortAsc = _sortNameAsc;
            }
            _persons.sort((a, b) => a.name.compareTo(b.name));
            if (!_sortAscending) {
              _persons = _persons.reversed.toList();
            }
          });
        },
       ),
      DataColumn(
        label:  Text('age'),
        onSort: (columnIndex, sortAscending) {
          setState(() {
            if (columnIndex == _sortColumnIndex) {
              _sortAsc = _sortAgeAsc = sortAscending;
            } else {
              _sortColumnIndex = columnIndex;
              _sortAsc = _sortAgeAsc;
            }
            _persons.sort((a, b) => a.age.compareTo(b.age));
            if (!_sortAscending) {
              _persons = _persons.reversed.toList();
            }
          });
        },
      ),
      DataColumn(
        label:  Text('Hight'),
        onSort: (columnIndex, sortAscending) {
          setState(() {
            if (columnIndex == _sortColumnIndex) {
              _sortAsc = _sortHeightAsc = sortAscending;
            } else {
              _sortColumnIndex = columnIndex;
              _sortAsc = _sortHeightAsc;
            }
            _persons.sort((a, b) => a.height.compareTo(b.height));
            if (!_sortAscending) {
              _persons = _persons.reversed.toList();
            }
          });
        },
      ),
    ];

    var myRows = _persons.map((person) {
      return DataRow(cells: [
         DataCell( Text(perosn.name)),
         DataCell( Text('${person.age}')),
         DataCell( Text('${person.height}cm')),
      ]);
    });

    return  Scaffold(
      body:  Center(
        child:  Container(
            child:  DataTable(
          columns: myColumns,
          rows: myRows,
          sortColumnIndex: _sortColumnIndex,
          sortAscending: _sortAsc,
        )),
      ),
    );
  }
}