The big cat was spotted at about 4:25 a.m. walking across Crystal Springs Golf Course, which borders the San Francisco State Fish and Game Wildlife Refuge west of Skyline Boulevard, officials said.
Golfers and hikers alike should never approach a mountain lion, especially those that appear to be feeding or accompanied by offspring.
Game officials warn residents to never run from a cougar but to face it, make lots of noise, and try to appear bigger by waving arms.
Always keep a close eye on children and pick them up immediately if an encounter with a mountain lion occurs.
More information on mountain lions can be found at www.keepmewild.org.