The sister of 39-year-old Matthew Greene says a hiker found the glasses hanging on a sign at a trailhead near the Inyo Craters region of the Eastern Sierra.
The glasses have been turned over to the Mammoth Lakes Police Department, which is investigating Greene's disappearance.
Tiffany Minto said Saturday that the glasses look "strikingly similar" to the ones worn by her brother.
She says his optometrist has provided information about his prescription in hopes of helping police confirm the glasses are Greene's.
Greene's disappearance in mid-July has baffled friends and family who call him a highly experienced, cautious outdoorsman.