Officers responded to reports of a fight near Third Avenue and Geary Boulevard at around 2:15 a.m., San Francisco police Officer Gordon Shyy said.
Arriving police found two men who had been stabbed, Shyy said.
A 29-year-old man suffered a cut to his face and was taken to San Francisco General Hospital to be treated, Shyy said.
A second victim, a 42-year-old man, suffered multiple stab wounds and was also taken to SFGH.
Both men were expected to survive, Shyy said.
Police reported that a group of Asian males, believed to be the suspects, got into a black two-door sedan and fled the area, Shyy said.
Anyone with information about the case is encouraged to call the Police Department's anonymous tip line at (415) 575-4444 or send a tip by text message to TIP411 with "SFPD" in the message.