Prime Minster Theresa May has been informed of the incident, Reuters reported.
"This is a terrible incident," May said in a statement. "All my thoughts are with those who have been injured, their loved ones, and the emergency services on the scene."
Opposition leader Jeremy Corbyn said he was "totally shocked." "My thoughts are with those and the community affected by this awful event," he said in a statement.
Monday's collision is the latest in a series of incidents in the country involving vehicles hitting pedestrians.
In March, four people were killed and dozens were injured after a man drove his car into a crowd on Westminster Bridge and then stabbed a police officer. In June, men driving a van plowed into pedestrians on London Bridge and then began stabbing people in a popular market, killing eight.
In both instances, the attackers were killed by police.
This is a developing story and will be updated.
Injuries Reported After Vehicle Hits Pedestrians In London
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