He is about 6 feet tall and has a full, dark moustache.
The suspect was wearing a dark hooded sweatshirt, dark pants and dark boots at the time of the incidents.
Police said the man used a step stool to reach the height of the window so he could look into the woman's bedroom near the intersection of Colorado and Centinela avenues.
If you recognize the man or have any information, call the Santa Monica Police Department at (310) 458-8495.