French Montana -- I'm Sleeping With Julius Caesar

French Montana has added to his menagerie of exotic animals, with a gift that has a tendency to throw feces at you.

We got video of French and his new little friend ... an adorable baby monkey named Julius Caesar.

The monkey was a surprise gift from producer Mally Mall ... who presented the banana enthusiast to Montana on board his private jet.

We're told French has been bottle feeding JC ... and even slept with him last night.

FM is no stranger to wildlife. Earlier this year, he posted a picture of him holding two tiger cubs, with this caption: "Got so high last night bought 2 baby tigers."