How can I disable month selection in the jQuery datepicker?

You can effectively disable them using stepMonths by making them go nowhere when clicked, like this:

$("#date").datepicker({
  changeMonth: false,
  changeYear: false,
  dateFormat: 'dd/mm/yy',
  duration: 'fast',
  stepMonths: 0
});

You can give it a try here

Or, you could remove the buttons like this:

$("#date").datepicker({
  changeMonth: false,
  changeYear: false,
  dateFormat: 'dd/mm/yy',
  duration: 'fast'
}).focus(function() {
  $(".ui-datepicker-prev, .ui-datepicker-next").remove();
});​

You can give that a try here, this works because the default showOn option is focus, if you're using a different event, just bind to that after the .datepicker() call (so its event runs first, you can't hide what isn't created yet).

The mentioned solution did not work for me, I developped this:

$('#datepicker').find('.ui-datepicker-next').remove();
$('#datepicker').find('.ui-datepicker-prev').remove();