[Страдалецъ]

Элементарно, надо воспользоваться компонентом TTimer:

Код:

unit Unit22;
interface
uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, StdCtrls, ExtCtrls;

type
  TForm22 = class(TForm)
    Timer1: TTimer;
    Label1: TLabel;
    procedure Timer1Timer(Sender: TObject);
    procedure FormCreate(Sender: TObject);
  private
    Counter: Integer;
  end;

var
  Form22: TForm22;

implementation
{$R *.dfm}

procedure TForm22.FormCreate(Sender: TObject);
begin
 Counter := 10;
end;

procedure TForm22.Timer1Timer(Sender: TObject);
begin
 Label1.Caption := IntToStr(Counter);
 Dec(Counter);
 if Counter < -1 then Application.Terminate;
end;

end.

DFM

Код:

object Form22: TForm22
  Left = 0
  Top = 0
  Caption = 'Form22'
  ClientHeight = 302
  ClientWidth = 635
  Color = clBtnFace
  Font.Charset = DEFAULT_CHARSET
  Font.Color = clWindowText
  Font.Height = -11
  Font.Name = 'Tahoma'
  Font.Style = []
  OldCreateOrder = False
  OnCreate = FormCreate
  PixelsPerInch = 96
  TextHeight = 13
  object Label1: TLabel
    Left = 56
    Top = 24
    Width = 7
    Height = 25
    Font.Charset = DEFAULT_CHARSET
    Font.Color = clWindowText
    Font.Height = -21
    Font.Name = 'Tahoma'
    Font.Style = []
    ParentFont = False
  end
  object Timer1: TTimer
    OnTimer = Timer1Timer
    Left = 16
    Top = 16
  end
end