Police are appealing for witnesses after two vehicles were targeted in Catalpa Way in Gorleston.
The incidents happened between 2pm on Sunday, September 27, and 8.30am on Monday, September 28.
The suspect(s) entered a Renault Laguna before setting fire to the back seat which damaged the interior.
A Hyundai i10 on the same road had two tyres punctured.
Officers are keen to hear from anyone who may have witnessed the incident or noticed anything suspicious between the times stated.
Witnesses should contact PC Sally Anderson at Gorleston Police Station on 101 or call Crimestoppers anonymously on 0800 555 111.
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