Investigators say at about 2:30 on Thursday morning, a woman's BMW went out of control on Monument Avenue near Belmont Avenue in the Wynnefield section of the city.
Officers say her car then rammed an off-duty officer's pickup.
Police say the woman then got out of her car and ran to a nearby golf course.
Officers caught up with her there.
They have tested her to see if she was driving under the influence.
There were no serious injuries.