A silver Vauxhall Insignia struck what police described as “a group” of people in Charles Street, Ravensthorpe, at about 8.20pm.
Five people were injured, with one person being taken to hospital.
A 17-year-old man has been arrested on suspicion of wounding with intent and today remained in police custody.
Around 150 people congregated in the area following the collision, with some of them becoming aggressive.
Police eventually managed to disperse the crowd with the help of community leaders.
The incident came amid local concerns that the Asian community is being targeted by robbers who have been forcing their way into people’s homes.
West Yorkshire Police’s Chief Insp Paula Booth said: “We would like to thank the local community in advance, for supporting the police at this time and helping us to do our job.
“This was a serious incident and we understand people’s concerns, but some of the behaviour officers had to deal with last night was unacceptable.
“Officers patrolled the area throughout the night and will continue to patrol the area to provide reassurance and talk to witnesses.”
Anyone with information about last night’s incident is asked to contact the Kirklees policing team via West Yorkshire Police’s 101 phone number or Crimestoppers anonymously on 0800 555111.