Usa o objeto Clipboard...
Declara um objeto assim:
Clipboard clipBoard;
public void copy (){
clipBoard = getToolkit().getSystemClipboard();
StringSelection ss = new StringSelection(mModel.getText());
clipBoard.setContents(ss,ss);
}
private void paste() {
clipBoard = getToolkit().getSystemClipboard();
Transferable t = clipBoard.getContents(new Object());
try {
String texto = (String)t.getTransferData(DataFlavor.stringFlavor);
texto = texto.replace(',', '.');
txtDisplay.setText(mModel.setText(texto));
}
catch (UnsupportedFlavorException ex) {
ex.printStackTrace();
}catch (IOException ex) {
ex.printStackTrace();
}
}
Espero ter ajudado.
Luiz Henrique Galeoti