Almost 40 years to the day since England great Colin Cowdrey made a match-winning 151 not out for Kent against Australia on the same St Lawrence ground, Bell-Drummond delighted a new generation of fans with an innings of 127.
However, the 21-year-old's effort was in a losing cause with Kent, set an improbable 550 for victory, bowled out for 294 in their second innings shortly after tea on Sunday's fourth and final day.
After Australia had declared on their overnight 322 for four, opener Bell-Drummond -- out for a duck in the first innings -- looked in good touch.
Fellow opener Joe Denly made a brisk 22 before he was bowled middle stump by first change Peter Siddle.
More From This Section
Former England batsman Rob Key had anchored Kent's first innings 280 -- made in response to Australia's imposing 507 for eight declared -- with 87.
But Key could only manage 14 on Sunday before, for the second time in the match, he fell to leg-spinner Fawad Ahmed.
Mitchell Marsh, who made a quickfire century in Australia's second innings, continued to press his claim as a seam-bowling all-rounder in the side for the first Test against England at Cardiff on July 8, by having Kent captain Sam Northeast caught behind for 11.
He was especially severe on Ahmed, taking 18 off one over from the leg-spinner including a cut four, a straight-drive six, another cut boundary and a clip off his legs to the mid-wicket rope.
Bell-Drummond, long regarded as one of England's most promising young players, wasn't finished with Ahmed as a pull for four and two successive sixes, in three balls from the spinner saw him to a 92-ball hundred.
What was just the seventh first-class century of Bell Drummond's fledgling career contained 21 fours and three sixes.
Not long afterwards, rain briefly halted play with Kent, bottom of the Second Division of England's County Championship, 203 for four.