Bootstrap 3 DatePicker - How to reset selected date without resetting the picker configuration?

You need to get the current datePicker instance and call setDate(null) on it. you can do it like this:

$("#clear").click(function(){
  $('#myDatepicker').data('datepicker').setDate(null);
});

updated fiddle: http://jsfiddle.net/4L6fhjLf/2/

$('#myDatepicker').data('DateTimePicker').date(null);