A spokeswoman for The Met said the incident was reported to police later that evening and an investigation is under way.
The couple have since reported the incident to Uber, who she said were unaware it had taken place.
A spokesman for Uber said: "Trust and safety are of paramount importance to Uber, and we pride ourselves on offering the safest, most convenient and reliable way of getting about town.
"As such we are shocked to learn that one of our partner drivers was involved in this incident.
"We are in touch with the authorities and have asked them to pass our details to the cyclist so we can offer our full support. The driver has been deactivated from the Uber platform whilst we investigate.”