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排序是根据列的类型来的，就ID列来说，int类型的排序结果是3，5，17，而如果你把该列类型改为string，结果就会是17,3,5，如果你定义列的时候不加类型，默认是string，如果是自定义类型，那么请继承IComparable接口，实现CompareTo方法。

XAML

<Window x:Class="ListViewSort.Window1"xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"Title="Window1" Height="300" Width="300" Loaded="Window_Loaded"><Grid><ListView x:Name="lv" GridViewColumnHeader.Click="GridViewColumnHeader_Click"  IsSynchronizedWithCurrentItem="True" ItemsSource="{Binding}" Margin="0,0,0,70"><ListView.View><GridView><GridViewColumn  Header="ID" DisplayMemberBinding="{Binding ID}" /><GridViewColumn  Header="Name" DisplayMemberBinding="{Binding Name}" /></GridView></ListView.View></ListView></Grid>
</Window>

C#

using System;
using System.Collections.Generic;
using System.Text;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Data;
using System.Windows.Documents;
using System.Windows.Input;
using System.Windows.Media;
using System.Windows.Media.Imaging;
using System.Windows.Navigation;
using System.Windows.Shapes;
using System.Data;
using System.ComponentModel;namespace ListViewSort
{/// <summary>/// Interaction logic for Window1.xaml/// </summary>public partial class Window1 : Window{public Window1(){InitializeComponent();}private void Window_Loaded(object sender, RoutedEventArgs e){//Initialize datasourceDataTable dt = new DataTable();dt.Columns.Add("ID", typeof(Int32));dt.Columns.Add("Name", typeof(string));dt.Rows.Add(5, "Apple");dt.Rows.Add(17, "Orange");dt.Rows.Add(3, "Banana");lv.DataContext = dt;}private void GridViewColumnHeader_Click(object sender, RoutedEventArgs e){if (e.OriginalSource is GridViewColumnHeader){//Get clicked columnGridViewColumn clickedColumn = (e.OriginalSource as GridViewColumnHeader).Column;if (clickedColumn != null){//Get binding property of clicked columnstring bindingProperty = (clickedColumn.DisplayMemberBinding as Binding).Path.Path;SortDescriptionCollection sdc = lv.Items.SortDescriptions;ListSortDirection sortDirection = ListSortDirection.Ascending;if (sdc.Count > 0){SortDescription sd = sdc[0];sortDirection = (ListSortDirection)((((int)sd.Direction) + 1) % 2);sdc.Clear();}sdc.Add(new SortDescription(bindingProperty, sortDirection));}}}}
}