The stabbing happened just before 3 a.m. Tuesday at the Adobe Falls Apartment complex.
The suspect took off after the attack, while the victim called 911.
"We arrived on scene within four minutes, and first officers arriving found the male laying on the kitchen floor with multiple stab wounds," said San Diego Police Sergeant Ron Glass.
The victim's stab wounds are not considered life-threatening.
Police are looking for a 50-year-old African American female who could be the victim's girlfriend.
One witness said she took off in a dark sedan.