The Serbian defender, who is currently out for the remainder of the season with a knee injury, helped guide United to a record 19th league title last term.
Vidic was handed the United armband last season and has often typified the club's solidity at the back.
Liverpool centre-back Martin Skrtel (21%) finished second to Vidic (31%), while Manchester City's Vincent Kompany (17%) finished third.
Skrtel and Kompany have spearheaded the best two defences in the Premier League this season.
The Slovakian was an ever present in the Premier League last term, and his unerring consistency has proved a valuable weapon in The Reds' pursuit of the top four.
The absence of Kompany, due to suspension and injury, has exposed the importance of the Belgian to City's cause of late, with Roberto Mancini's side crashing out of the FA Cup and Carling Cup in January.
Proceeding the trio in the vote are Arsenal's Thomas Vermaelen (12%), who appears over last term's injury problems and Chelsea captain John Terry (11%).
Michael Dawson (2%) and Fabricio Coloccini (2%), who face-off this weekend when Tottenham Hotspur host Newcastle United, finished off the pace despite impressive seasons for their respective clubs.
Dawson's performances make him a genuine contender for England's European Championships squad this summer, while after being handed the captaincy in the summer, Coloccini's performances have assisted in Newcastle's meteoric rise.
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