Three pedestrians were found injured near The Strand just after 11.40pm today (March 18).
Officers and London Ambulance Service crews attended and a woman in her 20s was pronounced dead.
The Strand shut after crash near King’s College – live
Two of them were taken to hospital where one has been left with potentially life-threatening injuries.
The driver of the van, a 26-year-old man, was arrested at the scene on suspicion causing death by careless driving and driving with concentration of specified controlled drug above specified limit.
He remains in police custody, the Metropolitan Police said.
Enquiries are ongoing and a crime scene is in place.
The force has clarified that the crash is not being treated as terrorism-related.
Bus routes including the 9, 23 and 172 are being detoured from the area.
The road is closed with queuing traffic from Surrey Street to A301 Waterloo Bridge.