"I prefer to see some of the younger lads winning the award," the 29-year-old said after coming top in the poll of sports journalists.
"Please, don't vote for me anymore."
Bulgaria's all-time leading scorer, with 48 goals, quit the Balkan country's national team in May citing fatigue and family commitments but enjoyed a successful year at United.
Last month, he became only the fourth player to score five times in one Premier League match when he helped destroy Blackburn Rovers in a 7-1 win.
Berbatov expects to spend the rest of his career at United.
"I fought to have a chance to play for United and now I can only go down if I leave," he told reporters. "Why I should do this? It would be better to retire."
Gaziantepspor striker Ivelin Popov and Twente Enschede goalkeeper Nikolay Mihaylov came second and third in the poll.
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