Brown received the results of the test Thursday, her representative Liza Anderson told People magazine Friday.
A source close to Brown said: "He's the baby's father; it's official."
Brown, 32 -- who gave birth to Angel Iris Murphy Brown April 3 -- has contended Murphy is the child's father.
She and the comic dated last summer.
Murphy reportedly said in December on a Dutch television show: "I don't know whose child that is until it comes out and has a blood test."