London Ambulance Service says 11 people were injured Saturday afternoon after they were hit by a vehicle.
A BBC report from the scene has said that some witnesses believed they heard gunfire, and that armed police had now arrived to the scene.
"Inquiries to establish the circumstances and motive are underway", London Police said.
The Scotland Yard has detained one following the incident in Exhibition Road in South Kensington.
Reports suggest the black Toyota Prius which mounted the pavement was a licensed taxi cab.
The man detained at the scene is now under arrest and being held at a police station, according to the statement.
The incident occurred on Exhibition Road, just off the Cromwell Road which is where the main entrance to the Natural History Museum lies.
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A BBC reporter at the scene said that she saw a auto moving "diagonally" across the road before the crash.
In London, a vehicle near Natural History Museum in Kensington district has been driven to a sidewalk and has captured several passers-by.
London Ambulance Service said 11 people had been hospitalized for their injuries.
"The incident is a road traffic investigation and not a terrorist-related incident", the statement said.
Most of those hurt were treated for leg and head injuries.
The terror threat level in the country is "severe", which means a terror attack is highly likely.
A Downing Street spokesman said the prime minister was "being kept up to date on events".
The Natural History Museum closed after the crash but its neighbor, the famed Victoria and Albert Museum, remained open.