A man gained access to a property in Havant Road through the back of the premises.
Between last Thursday and Friday, at 11pm, a green specialised electric bike was stolen, as well as cash from a handbag.
Thunderstorms in Portsmouth yellow weather warning: The Met Office forecast for the next three days in city, Fareham, Gosport, Havant and Waterlooville and Hampshire
Portsmouth Traffic: M27 between junctions 11 and 12 closed throughout August amid footbridge repairs with A27 diversion in place
Emergency crews battling to save someone’s life on Southsea seafront
'Manipulative' paedophile who went to Farnborough Railway Station with cans of Strongbow cider to meet girl, who he asked to travel 100 miles, busted by undercover police officer
Police update on probe into death of ‘Wiggy’ Symes after fatal dog attack in Fareham
Hampshire Constabulary said two other attempted burglaries took place along Bath Road in the same time period.
A statement added: ‘We are currently treating the incidents as being linked.
‘There were also two similar reports overnight on July 24 and 25 when a suspicious male was captured on domestic cameras entering gardens on Selangor Avenue and Enderlie Close.
‘Officers have been carrying out enquiries but are now asking the public for help.
‘Do you recognise the man in the CCTV image? Were you in the area at the time? Did you witness anything suspicious?’
People can submit information by calling 101, quoting 44220305887.