It happened at about 8.30pm yesterday, when officers came across the incident in Bramley.
A silver Peugeot 206 had left the carriageway and crashed with a billboard near to the junction with Station Mount.
The driver, a 51-year-old man, was extricated by firefighters.
He was taken to hospital for treatment to injuries.
His injuries were described as serious but not life threatening.
A scene was in place while the vehicle was removed and the billboard made safe.
Two fire crews from Stanningley and Leeds attended.
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