The cougar was spotted at about 12:05 a.m. in the vicinity of High and Woodside roads, officials said.
Another sighting was reported further south in Woodside at about 6 p.m. Thursday. That animal was seen in the vicinity of 359 Preston Road near state Highway 84, according to emergency officials.
Officials did not say whether the two sightings were of the same cougar.
Residents are advised not to approach mountain lions, and should avoid hiking or jogging at dawn, dusk and night, when the animals are most active, officials said.
In the event of a mountain lion encounter, emergency officials advise residents to try to appear large and make noise.
More information about mountain lions can be found at www.keepmewild.org.