When we run edit() method of TableView control after adding new row into the control we can see selected new row but without edit mode.

I copied example from Oracle website: http://docs.oracle.com/javafx/2/ui_controls/table-view.htm#CJAGDAHE. Then I put additional button for adding new row and define action for the button.

final Button addButton = new Button("Add");
addButton.setOnAction(new EventHandler<ActionEvent>() {

    @Override
    public void handle(ActionEvent arg0) {
        Person p = new Person("", "", "");
        table.getItems().add(p);
        table.getSelectionModel().select(p);
        table.edit(table.getSelectionModel().getSelectedIndex(), table.getColumns().get(2));
    }
});

When we compare similar method for editing existing rows it works properly.

final Button editButton = new Button("Edit");
editButton.setOnAction(new EventHandler<ActionEvent>() {

    @Override
    public void handle(ActionEvent arg0) {
        table.edit(table.getSelectionModel().getSelectedIndex(), table.getColumns().get(2));
    }
});