
The incident happened around 8am today (June 11), and police remain at the scene.
The bridge is currently closed to northbound traffic, and City of London Police are urging people to avoid the area.
The woman was treated for a leg injury and taken to hospital by the London Ambulance Service.
Investigations into the incident are ongoing.
Chief Inspector James Minney, City of London Police, said: âCity of London Police officers are attending the scene of a road traffic collision involving a bus and a cyclist at 8am on London Bridge.
 âThe bridge is currently closed to northbound traffic and weâd ask people to avoid the area.
 âA woman was taken to hospital by London Ambulance Service.
âInvestigations are ongoing.â
A London Ambulance Service spokesperson said: âWe were called at 8.29am today (11 June) to reports of a road traffic collision on London Bridge, SE1.
âWe sent an ambulance crew, an incident response officer and a clinical team manager to the scene.
âOur first paramedics arrived on scene in approximately five minutes.
âWe treated a woman for a leg injury and took her to a major trauma centre as a priority.â