The incident happened when he was spotted by a police officer in a vehicle on Beacon Fell, in the Forest of Bowland.
The officer retreated to a safe distance when the man drove off at speed. The incident, which started around 2.30am on July 1, resulted in the vehicle being pursued.
A spokesman for Lancashire Police said: “He was eventually stopped on the M55 eastbound link to the M6 southbound.
“The man then discharged the crossbow which caused him to suffer a serious head injury. He was taken to Royal Preston Hospital.”Maybe he just didn’t have an apple handy?