Kent lost seven wickets for 89 on the final morning as Worcestershire wrapped up a 125-run win in their LV= County Championship Division Two match at New Road.
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Charles Morris took three of the remaining wickets to fall as Kent slumped from their overnight 51 for three to 140 all out.
Morris finished with three for 31 while Gareth Andrew and Jack Shantry claimed another two apiece to end with four for 43 and three for 26 respectively.
Kent needed to make a solid start to the day to lift hopes of reaching their 266-run target but Ben Harmison was trapped leg before by Shantry having added just one to his overnight nine.
That ended a 30-run stand with former West Indies batsman Brendan Nash, who followed when he flashed at a wide Shantry delivery and was well caught behind by Ben Cox, stood up, for 28.
Shaaiq Choudhry produced an even better catch to remove Darren Stevens, diving full length at midwicket to grasp a difficult chance off the bowling of Andrew.
Morris then struck twice in two overs, bowling James Tredwell off-stump and having Sam Billings lbw, as all Kent hope evaporated.
Morris and Andrew then accounted for Mitchell Claydon and Doug Bollinger respectively to end proceedings before lunch.