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unit main;

uses
  ...

const MSG_IconCallback = WM_APP + 100;

type
    ...
  private
    ...
  public
    ...
    procedure ApplicationEvents1Minimize(Sender: TObject);
    procedure ApplicationEvents1Restore(Sender: TObject);
    procedure WM_IconCallback(var Msg: TMessage); message MSG_IconCallback;
  end;

var
  ...
  d: TNotifyIconData;
  Ico: TIcon;

implementation
...
...

procedure TForm1.FormCreate(Sender: TObject);
begin
    ...
    Ico := TIcon.Create;
    Ico.Handle := LoadIcon(HINSTANCE, 'MAINICON');
    d.cbSize := sizeof(d);
    d.hIcon := Ico.Handle;
    d.WND := self.Handle;
    d.uID := 0;
    d.uCallbackMessage := MSG_IconCallback;
    d.uFlags := NIF_MESSAGE or NIF_ICON;
    Shell_NotifyIcon(NIM_ADD, @d);
    Application.OnMinimize := ApplicationEvents1Minimize;
    Application.OnRestore := ApplicationEvents1Restore;
    ...
end;

procedure TForm1.FormDestroy(Sender: TObject);
begin
    ...
    Shell_NotifyIcon(NIM_DELETE,@d);
    ...
end;

procedure TForm1.ApplicationEvents1Minimize(Sender: TObject);
begin
    ShowWindow(GetWindow(Handle,GW_OWNER),SW_HIDE);
    Shell_NotifyIcon(NIM_ADD, @d);
end;

procedure TForm1.ApplicationEvents1Restore(Sender: TObject);
begin
    ShowWindow(GetWindow(Handle,GW_OWNER),SW_HIDE);
    Application.BringToFront;
end;

procedure TForm1.WM_IconCallback(var Msg: TMessage);
begin
    if Msg.LParam = WM_LBUTTONDBLCLK then
    begin
    Application.Restore;
    Application.BringToFront;
    end;
    if Msg.LParam = WM_RBUTTONDOWN then
    PopupMenu1.Popup(Mouse.CursorPos.x, Mouse.CursorPos.y);
end;

procedure TForm1.FormShow(Sender: TObject);
begin
    ShowWindow(GetWindow(Handle,GW_OWNER),SW_HIDE);
end;					

1:

procedure TForm1.WM_IconCallback(var Msg: TMessage);