$('#ajaxForm').submit(function(){
	var params = $(this).serialize();
	var self = this;
	
	$.post(
		'/ajax.php',
		params,
		function(data){
			switch(data.status){
				case 1: //success
					$.fancybox.close();
				break;
				
				case 0: //failure
					console.log(data);
					$('#errorMessage').html(data.message);
				break;
				
			
			}
		},
		'json'
	);

	return false;	

});

http://www.dropthenerd.com/close-fancybox-when-you-submit-a-form-revisited

Close a fancybox when you submit a form with ajax

ajax, jquery

jQuery