Curl has a history of heart problems, and he cited that in press release sent out on Tuesday.
"This season has been really difficult for me to keep up with everything for health reasons, so it's time for me to step aside and heal up," Curl said. "I'm very thankful for the opportunity I've had here at the University of Houston. It has been a great fit for me."
Prior to coming to the University of Houston in 1998-99, Curl coached at Trinity Valley Community College, Stephen F. Austin and Blinn College.
A nationwide search for the next Houston women's basketball head coach will begin immediately.
Curl's announcment comes just a day after men's basketball coach Tom Penders announced his resignation.