Emergency services were alerted at around 7.10pm when the red Suzuki Alto crashed near the Cow and Calf pub in Hangingstone Lane.
A West Yorkshire Fire Service spokesman said two people – both female – had been trapped in the wreckage.
They were rescued by firefighters from Ikley and Otley stations.
A police spokesman today said the 23-year-old driver and her passenger had been taken to hospital with what were believed to be back injuries.
He said the vehicle had since been recovered from the scene.