It happened between 9:30pm on Wednesday March 22 and 8:30am the following morning when the victim awoke to find one of the tyres on her vehicle had been slashed.
The vehicle, a black Ford Focus, had been parked on the Columbus Ravine end of Nelson Street.
A North Yorkshire Police spokesperson said: "We are in the process of conducting enquiries in an attempt to identify those responsible for the damage."
Anyone with information that could assist the investigation should contact 101, select option 2, and ask for Liam Cromack or email [email protected]
If you wish to remain anonymous pass information to Crimestoppers on 0800 555 111 and quote reference number 12170048811.