The two cases happened in the early hours Cambridge Road and Burnaby Road.
Voters in Eastleigh go to the polls today.
The by-election has been caused by the resignation of the Liberal Democrat MP Chris Huhne.
Polling stations are open between 7am and 10pm and the result is expected in the early Friday.
Below is the full list of candidates standing:
Conservative - Maria Hutchings
Labour - John O'Farrell
Liberal Democrats - Mike Thornton
UK Independence Party - Diane James
National Health Action - Iain MacLennan
Peace Party - Jim Duggan
Independent - Danny Stupple
English Democrats - Mike Walters
Monster Raving Loony Party - Alan Hope
Wessex Regionalists - Colin Bex
Elvis Loves Pets - David Bishop
The Beer, Baccy and Crumpet Party - Ray Hall
Christian Party - Kevin Milburn
Trade Unionists and Socialists - Daz Procter
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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