请尝试以下方法：

AutoClosingMessageBox.Show("Text", "Caption", 1000);

当AutoClosingMessageBox类实现如下：

public class AutoClosingMessageBox {
    System.Threading.Timer _timeoutTimer;
    string _caption;
    AutoClosingMessageBox(string text, string caption, int timeout) {
        _caption = caption;
        _timeoutTimer = new System.Threading.Timer(OnTimerElapsed,
            null, timeout, System.Threading.Timeout.Infinite);
        using(_timeoutTimer)
            MessageBox.Show(text, caption);
    }
    public static void Show(string text, string caption, int timeout) {
        new AutoClosingMessageBox(text, caption, timeout);
    }
    void OnTimerElapsed(object state) {
        IntPtr mbWnd = FindWindow("#32770", _caption); // lpClassName is #32770 for MessageBox
        if(mbWnd != IntPtr.Zero)
            SendMessage(mbWnd, WM_CLOSE, IntPtr.Zero, IntPtr.Zero);
        _timeoutTimer.Dispose();
    }
    const int WM_CLOSE = 0x0010;
    [System.Runtime.InteropServices.DllImport("user32.dll", SetLastError = true)]
    static extern IntPtr FindWindow(string lpClassName, string lpWindowName);
    [System.Runtime.InteropServices.DllImport("user32.dll", CharSet = System.Runtime.InteropServices.CharSet.Auto)]
    static extern IntPtr SendMessage(IntPtr hWnd, UInt32 Msg, IntPtr wParam, IntPtr lParam);
}

更新： 如果希望在超时之前选择某些内容时要获取基础MessageBox的返回值，则可以使用以下版本的代码：

var userResult = AutoClosingMessageBox.Show("Yes or No?", "Caption", 1000, MessageBoxButtons.YesNo);
if(userResult == System.Windows.Forms.DialogResult.Yes) { 
    // do something
}
...
public class AutoClosingMessageBox {
    System.Threading.Timer _timeoutTimer;
    string _caption;
    DialogResult _result;
    DialogResult _timerResult;
    AutoClosingMessageBox(string text, string caption, int timeout, MessageBoxButtons buttons = MessageBoxButtons.OK, DialogResult timerResult = DialogResult.None) {
        _caption = caption;
        _timeoutTimer = new System.Threading.Timer(OnTimerElapsed,
            null, timeout, System.Threading.Timeout.Infinite);
        _timerResult = timerResult;
        using(_timeoutTimer)
            _result = MessageBox.Show(text, caption, buttons);
    }
    public static DialogResult Show(string text, string caption, int timeout, MessageBoxButtons buttons = MessageBoxButtons.OK, DialogResult timerResult = DialogResult.None) {
        return new AutoClosingMessageBox(text, caption, timeout, buttons, timerResult)._result;
    }
    void OnTimerElapsed(object state) {
        IntPtr mbWnd = FindWindow("#32770", _caption); // lpClassName is #32770 for MessageBox
        if(mbWnd != IntPtr.Zero)
            SendMessage(mbWnd, WM_CLOSE, IntPtr.Zero, IntPtr.Zero);
        _timeoutTimer.Dispose();
        _result = _timerResult;
    }
    const int WM_CLOSE = 0x0010;
    [System.Runtime.InteropServices.DllImport("user32.dll", SetLastError = true)]
    static extern IntPtr FindWindow(string lpClassName, string lpWindowName);
    [System.Runtime.InteropServices.DllImport("user32.dll", CharSet = System.Runtime.InteropServices.CharSet.Auto)]
    static extern IntPtr SendMessage(IntPtr hWnd, UInt32 Msg, IntPtr wParam, IntPtr lParam);
}

另一个更新

我用YesNo按钮检查了@Jack的情况，发现发送WM_CLOSE消息的方法根本不起作用。
我将在单独的AutoclosingMessageBox库的上下文中提供一个
修复程序 。该库包含重新设计的方法，我认为这对某人可能有用。
也可以通过NuGet包获得：

Install-Package AutoClosingMessageBox

发行说明（v1.0.0.2）：
-新的Show（IWin32Owner）API支持大多数流行的场景（在＃1的上下文中）；
-新的Factory（）API提供对MessageBox显示的完全控制；