Police said the three people killed Tuesday night "were known to each other" and the campus was not in danger, the San Jose Mercury News reported.The shootings were not gang-related, said police, who had not released the victims' names.
University spokeswoman Pat Lopes Harris said after the coroner identifies the bodies, records will be checked to determine if any of the three attended the school.
Police were alerted to the shooting on the fifth level of the campus' main garage at 8:36 p.m. Two people died at the scene, and the third, believed to be the killer, died later at a hospital.
Harris said a weapon was recovered.
"Officers realized upon arrival that this was an isolated incident," she told the San Francisco Chronicle.
The garage was open again Wednesday morning.
Campus police were leading the investigation, aided by the San Jose Police Department's homicide unit.