Просто добавить селектор .drop-menu к .hover
$('.catalog-drop, .drop-menu').hover(function() { // use '.hover()', this first function handles the hover-in
$('.drop-down').css('display', 'block'); // assign this before the animation starts
$('.drop-down').stop().animate({ opacity: 1 }, 400); // use '.stop()' to avoid animation overlaps
}, function() { // this second function handles the hover-out
$('.drop-down').stop().animate({ opacity: 0 }, 400, function() { // callback function for the animation
$('.drop-down').css('display', 'none'); // assign this one when the animation is done
});
});