Code:

...
const CheckFieldName='MOJE_CHECK_POLJE';
....
procedure TFTabela.FormCreate(Sender: TObject);
begin
 with  DBCheckBox1 do
 begin
   Visible:= False;
   Color:= Grid.Color;
   ValueChecked:= 1;
   ValueUnChecked := 0;
   Caption:= '';
   DataField:= CheckFieldName;
 end;
end;

procedure TFTabela.GridDrawColumnCell(Sender: TObject;
  const Rect: TRect; DataCol: Integer; Column: TColumn;
  State: TGridDrawState);
const IsChecked : array[Boolean] of Integer =
      (DFCS_BUTTONCHECK, DFCS_BUTTONCHECK or DFCS_CHECKED);
var
  DrawState: Integer;
  DrawRect: TRect;
begin
  if (Column.Field.FieldName = CheckFieldName) then
  begin
    DrawRect:=Rect;
    InflateRect(DrawRect,-1,-1);
    DrawState := ISChecked[Column.Field.AsInteger=1];
    Grid.Canvas.FillRect(Rect);
    DrawFrameControl(Grid.Canvas.Handle, DrawRect, DFC_BUTTON, DrawState);
  end;
end;