Quote Originally Posted by samurai
Доброй ночи -genitive case.
Доброе утро -nominative/accusative case.

Why?

Thanks in advance.
(Я желаю тебе/вам) доброй ночи. I wish you a good night. The night is in the future.

(Посмотрите, какое / Не правда ли, какое) доброе утро! It's a good morning, isn't it? The morning is in the present.