Celtic won the Scottish title for the third successive season, Jan Vennegoor of Hesselink rising to head home the winner on a tense final day.
Gordon Strachan became only the third Celtic manager to achieve such a feat after a single goal was enough to see off Dundee United.
Both sides were denied by some fine goalkeeping in a nervy game.
But, with Rangers losing to Aberdeen, Vennegoor of Hesselink's header sent Celtic three points clear at the top.
The two Glasgow rivals had gone into their final matches equal on points but with Celtic having the advantage on goal difference.
But Celtic were the form team having won their last six Scottish Premier League games to overhaul a faltering Rangers' lead - and had not lost in their last 12 visits to Tannadice.
United had an early chance to add to any Celtic nerves, only for Noel Hunt to drive the ball straight at goalkeeper Artur Boruc from the edge of the penalty box.
However, the home side's defence, missing Lee
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