A garden wall was damaged by a vehicle which failed to stop after the incident in Keswick.
The wall, on Vicarage Hill, was damaged between 9.30pm on Thursday and 10.30am on Friday.
Police are asking anyone with information about the incident to come forward.
People can report online at www.cumbria.police.uk/report-it, quoting incident number 91 of 16 December 2022 or call 101.
Alternatively, contact Crimestoppers, anonymously, on 0800 555 111.
