The Metropolitan police said the incident occurred close to Camden market in north London on Sunday morning.
At about 2.30am the officers tried to speak to a man after reports he was in possession of a knife. The man got into a white 4×4 before driving towards the officers and colliding with them, police said. The driver did not stop at the scene and made off on Adelaide Road towards Swiss Cottage.
Police described the driver as a black male, about 6ft tall with a beard, wearing black clothing and a beanie hat. The passengers were described as two black females, with one wearing high-heel black boots, a black leather jacket and red skirt, while the other was wearing dark clothing including a long skirt and black boots, and had her hair in a ponytail.