The emergency services were called to Bromley High Street at around 3.47pm yesterday (Sunday 23).
The police, fire and ambulance services attended and the pedestrian was taken to hospital in a non-serious condition.
The High Street was closed for around 30 minutes.
Pictures show the 261 bus to Lewisham Station with a cracked windscreen.
A Metropolitan Police spokesperson said: “Police were called at 15:47hrs on Sunday, 23 February, alongside the London Fire Brigade and London Ambulance Service, to an incident where a female pedestrian was hit by a bus.
“The pedestrian was taken to hospital as a precaution and her condition is believed to be non-life threatening and non-life changing.
“Bromley High Street was temporarily closed and reopened at 16:19hrs.”