"Enquiries to establish the circumstances and motive are under way".
The police is investigating the incident, though not considering any terror link.
11 people have been treated for injuries sustained in the incident, with nine being taken to local hospitals.
The police also said that the officers are on scene, and the London Ambulance Service has been called. The injuries were mainly head and leg-related, it added, and were not life-threatening.
The incident occurred Saturday on Exhibition Road in South Kensington near the Natural History Museum.
British Prime Minister Theresa May thanked the first responders and the public for their help and said her thoughts were with the injured.
The auto believed to have been involved in the incident was lying diagonally across the road, jammed between two other vehicles. She says "all of these police came marching down saying, 'Move, move.' They said, 'you need to evacuate'".
Several people have been hurt after a vehicle mounted the pavement outside a London museum, Police say the incident is not terror-related.
'The man detained by officers is now under arrest and is in custody at a north London police station.
Reports suggest theblack Toyota Prius which mounted the pavement was a licensed taxi cab.
Here's all the info on the landmark - where it is, when it was opened and what happened in the traffic incident which saw multiple people injured by a taxi?
Dieon Rurora said people were running down the street to get away and some fell over. "It was quite scary".
"Details are emerging and I have spoken with and am in close contact with Assistant Met Commissioner Mark Rowley and our other emergency services".
London police have not said if this incident is related to terrorism.
The Natural History Museum said on Twitter: "There's been a serious incident outside the Museum".