procedure TForm1.Button1Click(Sender: TObject);
var
  SL: TStrings;
  index: Integer;
begin
  SL := TStringList.Create;
  try
    ADOConnection1.GetTableNames(SL, False);
    for index := 0 to (SL.Count - 1) do begin
      Table1.Insert;
      Table1.FieldByName('Name').AsString := SL[index];
      ADOTable1.TableName := SL[index];
      ADOTable1.Open;
      Table1.FieldByName('Records').AsInteger :=
        ADOTable1.RecordCount;
      Table1.Post;
    end;
  finally
    SL.Free;
    ADOTable1.Close;
  end;
end;