Dogs often whimper and whine, and appear to be crying, while hyenas and some birds can sound as if they’re laughing. But no creature besides man is capable of really crying or laughing.
Dogs and other animals have tear ducts, but their tears are used only to moisten their eyes, not to express sadness.
And while a dog may wag its tail to express happiness, or even appear to smile, no dog or any other animal can express happiness through laughter.
Monkeys can laugh. I don’t know if any other animals can laugh or cry, but I’m not going to give you my best guess and act like it is fact.