Ferguson has led United to their 12th Premier League title, and 19th English league success overall, plus the Champions League final.
Centre-back Vidic has been the key cog in United's defence and has made more league starts than any other Red Devils player during the campaign.
Ferguson, 69, lands the top manager award from the Premier League sponsors for a ninth time, while 29-year-old Vidic has now been named Barclays' player of the season twice in his United career, with votes coming from representatives of football's governing bodies, the media and supporters.