'Enquiries have established that this incident is not terrorist related and I'd like to thank those who came to assist the injured. A man was detained at the scene and the accident is being investigated.
The incident happened around 2.20pm London time (10:20pm WA time) in Exhibition Rd, South Kensington.
The area is a popular one for tourists, given the Science Museum and the Victoria and Albert Museum are also on Exhibition Road.
The museum confirmed the incident on Twitter and said it is working with the police.
Reuters, however, quoted London Police as saying that they were keeping an "open mind" after the incident, contradicting an earlier comment ussed by the city's police force. He said three female passengers in the vehicle told him it was a private-hire taxi.
British media reports said that the incident occurred after an uncontrolled auto mounted the pavement outside the Museum - a major tourist attraction.
Nearby museums have been evacuated and the London Underground has been closed between Embankment and South Kensington.
The current threat level in the U.K.is "severe"-the second highest classification, which indicates an attack is likely".