Jimmy Savile's cottage in Scotland was vandalised overnight, police said.
A spokesman for the force said "abusive slogans" were painted on to the walls of the property in Allt na Reigh, Glencoe.
Officers are appealing for anyone with information to contact them.
Earlier this week, officers searched the cottage to look for "any evidence of any others being involved in any offending with him".
The estate of Jimmy Savile has been frozen in response to the mounting sexual abuse claims against the late television and radio star.
The Jim'll Fix It star frequently used his access to hospitals he raised funds for to abuse young girls, according to fresh allegations.
A former Surrey Police officer who investigated Jimmy Savile has told ITV News he wasn't told of allegations made to other police forces.