Police gave chase to a Peugeot 206 car in Coleraine on Tuesday night - which then crashed.
The PSNI received reports that the car was being driven erratically and had allegedly been involved in theft across the Derry, Limavady and Coleraine areas from around 7pm.
Chief Inspector Mark McClarence said: "The vehicle was spotted by police on Cromore Road in Coleraine at around 8pm and was pursued by suitably trained officers.
"The vehicle crashed on the Millburn Road a short time later."
Five people were taken to hospital, four of whom were subsequently arrested.
They are a 26 year old man, a 23 year old man, a 23 year old woman and a 20 year old woman
The office of the Police Ombudsman has been informed.