unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, ExtCtrls, StdCtrls, GIFImage;

type
  TForm1 = class(TForm)
    Button1: TButton;
    Image1: TImage;
    procedure Button1Click(Sender: TObject);
  private
    { Private-Deklarationen }
  public
    { Public-Deklarationen }
  end;

var
  Form1: TForm1;

implementation

{$R *.dfm}

procedure TForm1.Button1Click(Sender: TObject);
var
  GIFimg: TGIFImage;
begin
  GIFImageDefaultAnimate := True; // da
  GIFimg:= TGIFImage.Create;
  try
    GIFimg.LoadFromFile('animation1.gif');
    Image1.Picture.Assign(GIFimg);
  finally
    GIFimg.Free;
  end;
end;

end.