Ten incidents have been reported in Acle, Drayton, Norwich, Salhouse and Horstead since 18 December and in the majority of cases suspect(s) have forced entry by smashing windows or doors.
Local Policing Commander, Chief Inspector Wes Hornigold, said officers were investigating whether the incidents were linked and that some of the properties targeted had been holiday homes.
He said: “We would urge anyone living in these areas to be vigilant and take the necessary security measures such as ensuring doors and windows are locked. Residents can also help us by notifying police about any suspicious activity or behaviour they may witness. You know your communities better than anyone else so will be best placed to notice is something or someone is out of place.”
A watch and jewellery was stolen from a home in Old Market Close, Acle, on 18 December while overnight on Friday 21 December suspect(s) targeted a property in Orchard Bank, Drayton, stealing van keys before taking the vehicle.
Jewellery and watches were stolen from a property in Norwich Road, Horstead, between 14 and 29 December.
An untidy search was carried out at a property in Blenheim Crescent in Norwich, targeted on Christmas Day although it appears nothing has been stolen.
Cash was stolen from a property in Thunder Lane, Thorpe St Andrew, between 1.30pm on 26 December and 9.50pm on 27 December.
Between 21 and 27 December a property in Barn Piece Close in Salhouse was targeted by burglars who stole jewellery and watches while jewellery and a mobile phone were taken from a house in Woodside Road, Norwich on 30 December.
Attempted burglaries have also been reported in Ling Way, Coltishall and The Street in Brundall between 23 and 28 December.
Officers are urging homeowners to be vigilant and report any suspicious activity to police.
Anyone with information should contact Norfolk Police on 101 or call Crimestoppers anonymously 0800 555 111.