The senior India batter, brought up his century off 134 balls on the second day, hitting back-to-back boundaries off Brydon Carse in the 55th over.
It was Pujara’s sixth ton for the English County side.
Pujara has been named captain of Sussex for this season.
Walking to the middle when his team was at 44 for 2, Pujara scored 115 off 163 balls to cut short Durham’s lead as he shared a vital 112-run partnership with Tom Clark.
Sussex had earlier bowled out Durham for 376 in the first innings.
He was eventually trapped leg before by medium pacer Ben Raine.
Pujara, who is a vital member of the Indian team that will play the WTC final against Australia at The Oval in London in June, sent the ball to the fence 13 times and once over it during his innings.
Last season, Pujara had scored five hundreds, and was the fourth highest run scorer in the Championship, accumulating 1094 runs in eight games.
(With inputs from PTI)
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