Police responded to reports of a possible stabbing at 4:39 a.m. at a children's playground inside the park, near 46th Avenue and Lincoln Way, Officer Robert Chew said.
Police believe there may have been a group of around six suspects involved in the incident, Chew said.
The victims were transported to San Francisco General Hospital.
Further information about the incident, including the extent of the victims' injuries, was not immediately available.