An outbuilding on Garside Street, Worksop, was badly damaged by fire at around 11.30pm.
A shed and a fence were also found to be alight in Clarence Road at around 2.30am.
Retford firefighters also attended to help tackle the two blazes.
Later at 3.45am Worksop crews put out another fence on fire in Clarence Road.
Police are investigating the incidents.