The couple hosted the festive gathering at the Calamigos Beach Club in Malibu, California, and had a custom social filter, announcing that they're naming their son Kenzo.
The name appeared in almost all the videos and pics the expectant parents shared to their Instagram story during the party, where they documented a lot of the fun celebration.
The baby shower itself was safari-inspired, with a wild animal motif playing a big part in the décor as well as the games that couple's family and friends competed in.
Even their puppy got in the spirit, with a fake furry mane wrapped around its head to give it a "King of the Jungle" look.
In a video Hart posted he jokingly explained, "We couldn't afford a lion, so we just got a dog and put the thing around the dog. It's still ballin', it's just on a budget."
The excited couple are getting ready to welcome their first child together in just over a month. Hart also has two kids -- 12-year-old Heaven and 9-year-old Hendrix -- whom he shares with ex-wife Torrei Hart.