The stolen bags, which include bespoke ones made by the luxury brand Hermes, were taken from a property in Alderley Edge - a village home to several Premier League footballers and known for featuring in reality TV programme The Real Housewives of Cheshire.
"On Monday 17 February between 7pm and 11pm, unknown offenders gained access to the side of the property using a ladder and entered through a skylight," a police spokesperson said.
Detective Sergeant Laura Fox said in a statement: "Our enquiries are ongoing, and we would urge anyone who witnessed this incident or saw anything suspicious to get in touch with us.
Police were called to the property on Macclesfield Road on Monday - but detectives believe the incident took place a week earlier.
More than 100 designer handbags have been stolen in a burglary at a home in Cheshire, police have said.