I want to transfer the selected objects from one JList to another JList, say List1 and List2.
as you don't show any code, all I can say is this:
assuming you are using, for example, an arrayList of custom objects as a source of data for each list, you could have a button that when pressed, gets the selected item index, grabs that object and then you add it to the other list.
method for the pressed button event (){
arrayList2.add(arrayList1.get(jList1.getSelectedIndex());
}
after this you can just reload the model on jlist2 so it shows the new data.
hope it helps