According to the college, police were searching for a suspect described as a white man in his 50s with grey curly hair and circular clear glasses.
The man was believed to be wearing a flannel black and blue shirt and was armed with a silver bladed knife, campus officials said.
The incident was first reported by the college around 1 p.m.
The shelter-in-place order was lifted shortly after 2 p.m., campus officials said on Twitter.
Police did not locate the suspect and warn students and staff to remain on alert.
Those with information on the suspect are asked to contact police at (408) 299-3233.
Mission College is a community college located at 3000 Mission College Boulevard in Santa Clara.
The shelter in place has been lifted and campus operations can resume. If anyone notices anyone matching the description, please contact District PD: 911 or 408-299-3233. @KPIXtv @thesvvoice @KTVU @kron4news @KGOdesk— Mission College (@go2MissionSC) March 2, 2020