A crew from Blackpool was alerted to the blaze on Dinmore Avenue, in Grange Park following a 999 call at around 10am on July 4.
Firefighters arrived to find the large quad bike "well alight" and tackled the blaze using hose reels.
A spokesman for the fire service said: "Firefighters from Blackpool extinguished a fire involving a quad bike in an alleyway. They notified police that it was suspected arson."
Nobody was injured during the incident.