The crash is reported to have happened on Queensway, in the Guiseley area, at 12.50am this morning.
The three cars are believed to have been parked up when they were in collision with another vehicle.
A white car was facing sideways on the path and near a hedge.
Its front end was completely smashed, with its rear-left door crumpled inwards.
One of the other cars, a Mini Cooper, was facing sideways in the middle of the road, adjacent to the third car – a black Audi.
The Mini’s front suffered bad damage – where it looked to have collided with the front-left side of the Audi.
Its bonnet was crumpled upwards.
The Audi looked to have suffered the least damage.
West Yorkshire Police and West Yorkshire Fire & Rescue Service (WYFRS) attended.
Three cars badly damaged after crash in early hours of Christmas Day