The two cases happened in the early hours Cambridge Road and Burnaby Road.
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Police officers seize Amazon Kindle device - does it belong to you?
The device, which is used to read electronic books, was recovered after police arrested two men on suspicion of theft at an electrical store in central Bournemouth at around 3pm on Thursday, 7 April 2011.
The shop owner believed that the item was stolen and alerted the police.
Detective Constable Martin Farrington, of Bournemouth and Poole CID, said:
"In order to progress this investigation, police are keen to identify the owner of the Amazon Kindle.
"I am appealing to anyone who has lost such a device in the last couple of weeks to contact the police.
"It's quite possible that the owner has not yet realised that it is missing."
The two arrested men, aged 19 and 20 and both from Bournemouth, have been released on police bail while enquiries continue.
Anyone with information should call Dorset Police in confidence on 01202 22 22 22.
Lewis Hine - who has a brain tumour - posted an inspirational film about his life, on his 16th birthday last week.
One of the men's targets was Ernest Jones in Portsmouth, taking £57,000 worth of watches.
Detectives Searching For Dash Cam Footage Around Gilpin Close.
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