Tottenham could have had a penalty when Bent tumbled under a Gary Caldwell challenge early in the second half.
Bent went close in the 74th minute but his curling shot was well saved by Boruc.
Bentley sealed the win for Juande Ramos' team when Gareth Bale raced down the left flank, cut inside and his cross eventually found its way to Bentley for the easiest of finishes.
Spurs take on Borussia Dortmund on Sunday, while Celtic face the host club on the same day.
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