The incident was reported to the police at around 9.45pm on April 16.
The boat was later found at Stamp End, Lincoln.
A dog, bike, drone, fishing tackle and a chainsaw have been taken from the boat and the inside has been damaged. The dog has now been found.
The boat, The Cockney Rose, is 50 ft long, blue and has 5 windows along each side. The bike would have been on top of the roof.
Anyone with information is asked to call Lincs Police on 101 reference incident number 473 of April 16 or call Crimestoppers anonymously on 0800 555 111.
The investigation is ongoing.