Investigators responded to the home in the 400 block of Evans Ridge Terrace, Northeast around 12:13 a.m. on Saturday.
The victim told police that she woke up with a man standing over her and that he exposed himself before touching her.
After the victim ordered the man to leave, he ran off.
Police are looking for a white or Hispanic male in his late teens or early 20s who is clean shaven with medium length, curly dark hair. He may be wearing a red-t-shirt.
If you can help police in their investigation, call (703) 771-4500.