The vehicle was ‘well alight’ and smoke clouds could be seen from near Queen’s Park – when firefighters arrived at the scene on Goytside Road at 7.35pm.
Crews used two breathing apparatus and a hose reel to extinguish the blaze and make the scene safe.
There were no injuries according to Derbyshire Fire and Rescue Service, who left the scene after the fire was put out at 7.59pm.