The Super Falcons took the lead when Asisat Oshoala challenged for a header and the ball bounced in off Ghana's Portia Boakye.
But three minutes before half-time Ghana won a penalty and captain Elizabeth Addo the equaliser.
Ghana's Samira Suleman and Florence Dadson missed chances to win it.
The result leaves both teams on four points, with one game each remaining.
Kenya and Mali, both looking for their first points, play in Group B's late game on Wednesday.