Did you even try googling it?
First hit:
http://www.codeproject.com/KB/cs/Monitor_management_guide.aspx
I am not surprised you need to use some DLL’s supplied by Windows.
(I guessed you needed a C# solution, because that’s the only tag you applied).
EDIT February 8th 2013:
It was mentioned that the solution no longer worked under Windows 7 en 8. Well here is one that works nicely under Windows 7, haven’t tried Windows 8 yet.
http://cocoa.ninja/posts/Turn-off-your-monitor-in-Csharp.html
namespace MonitorOff {
public enum MonitorState {
MonitorStateOn = -1,
MonitorStateOff = 2,
MonitorStateStandBy = 1
}
public partial class Form1 : Form {
[DllImport("user32.dll")]
private static extern int SendMessage(int hWnd, int hMsg, int wParam, int lParam);
public Form1() {
InitializeComponent();
SystemEvents.SessionSwitch += SystemEvents_SessionSwitch;
}
void SystemEvents_SessionSwitch(object sender, SessionSwitchEventArgs e) {
SetMonitorInState(MonitorState.MonitorStateOff);
}
private void button1_Click(object sender, EventArgs e) {
SetMonitorInState(MonitorState.MonitorStateOff);
}
private void SetMonitorInState(MonitorState state) {
SendMessage(0xFFFF, 0x112, 0xF170, (int)state);
}
}
}