The incident happened at the All Bar One, New Oxford Street branch just after 10.15am today (March 5).
Officers and London Ambulance Service crews were called to the scene and found two people injured.
One of the pair was taken to hospital where their condition is unknown. The other was discharged at the scene.
The bus, which appears to be a number eight, can be seen smashed through the front windows of the pub.
Footage from the scene also shows several police cars, ambulances and fire engines dealing with the incident.
New Oxford Street remains closed following the crash.
We have contacted the London Fire Brigade and All Bar One for further information.
A spokesperson for Metropolitan Police said: “We were called at 10.16am on Tuesday, 5 March to reports that a bus had collided with a pub in New Oxford Street, WC1.
“Officers responded. There were no reports of any injuries.”
A spokesperson for London Ambulance Service said: “We were called at 10:10am today (5 March) to reports of a road traffic collision on New Oxford Street, WC1A.
“We sent resources to the scene, including an ambulance crew, a cycle paramedic, an incident response officer and members of our hazardous area response team (HART).
“Our first paramedic arrived on scene in approximately five minutes.
“We treated two people. We took one patient to hospital and discharged the other at the scene.”