uses
  ComObj;

procedure TForm1.Button1Click(Sender: TObject);
var
  WordApp, NewDoc, WordTable: OLEVariant;
  iRows, iCols, iGridRows, jGridCols: Integer;
begin
  try
    // Create a Word Instance
    // Word Instanz erzeugen
    WordApp := CreateOleObject('Word.Application');
  except
    // Error...
    // Fehler....
    Exit;
  end;

  // Show Word
  // Word anzeigen
  WordApp.Visible := True;

  // Add a new Doc
  // Neues Dok einfügen
  NewDoc := WordApp.Documents.Add;

  // Get number of columns, rows
  // Spalten, Reihen ermitteln
  iCols := StringGrid1.ColCount;
  iRows := StringGrid1.RowCount;

  // Add a Table
  // Tabelle einfügen
  WordTable := NewDoc.Tables.Add(WordApp.Selection.Range, iCols, iRows);

  // Fill up the word table with the Stringgrid contents
  // Tabelle ausfüllen mit Stringgrid Daten
  for iGridRows := 1 to iRows do
    for jGridCols := 1 to iCols do
      WordTable.Cell(iGridRows, jGridCols).Range.Text :=
        StringGrid1.Cells[jGridCols - 1, iGridRows - 1];

  // Here you might want to Save the Doc, quit Word...
  // Hier evtl Word Doc speichern, beenden...

  // ...
  
  // Cleanup...
  WordApp := Unassigned;
  NewDoc := Unassigned;
  WordTable := Unassigned;
end;