// Using ODBC:

const
ODBC_ADD_DSN = 1; // Add data source
ODBC_CONFIG_DSN = 2; // Configure (edit) data source
ODBC_REMOVE_DSN = 3; // Remove data source
ODBC_ADD_SYS_DSN = 4; // add a system DSN
ODBC_CONFIG_SYS_DSN = 5; // Configure a system DSN
ODBC_REMOVE_SYS_DSN = 6; // remove a system DSN
ODBC_REMOVE_DEFAULT_DSN = 7; // remove the default DSN

function SQLConfigDataSource(hwndParent: HWND;
fRequest: Word;
lpszDriver: LPCSTR;
lpszAttributes: LPCSTR): BOOL; stdcall; external 'ODBCCP32.DLL';

function CreateDB(const Database: string): Boolean;
begin
Result := SQLConfigDataSource(0, ODBC_ADD_DSN,
'Microsoft Access Driver (*.mdb)', PChar('CREATE_DB=' + Database + ' General'#0));
end;

procedure TForm1.Button2Click(Sender: TObject);
begin
CreateAccessDatabase('c:Testdb.mdb');
end;