The 1.3m actor was reportedly in Mexico City with his family at the time of his death, according to TMZ.
He was rushed to the emergency room on Saturday after coming down with a severe stomach ache. The next day his family was told Bravo had passed away.
Handler paid tribute to Bravo in an Instagram post.
"I loved this nugget in a big way, and I took great pleasure in how many people loved him as much as I did and do," Handler said. "@chuybravo gave us so much laughter and I'll never forget the sound of his laughter coming from his office into mine. Or his 'business calls' with his 'business manager,' or his shoe rack with all his children-sized shoes."