Hampshire 462 and 204 (Dawson 51, Virdi 4-108) beat Worcestershire 273 and 158 (Libby 57, Abbott 5-36) by 235 runs
Abbott took four of the five remaining Worcestershire wickets to return five for 36 and his fourth five-wicket haul of the season.
Hampshire collected maximum points to move above Somerset and into second place, ahead of a trip to Taunton to conclude the season next week, with James Vince’s side last finishing as runners-up under Shane Warne’s captaincy.
Worcestershire needed 277 more runs to win on the final day, but only lasted until 11.30am as Abbott ran rampant.
Abbott broke through in the sixth over of the day as he skidded a short delivery into Ethan Brookes’ ribs.
The first-innings centurion attempted to pull, but it dragged off his glove and to Toby Albert at leg slip – who took a stunning diving catch.
Jake Libby scored a patient half-century the previous evening but only added a further two runs before he became Abbott’s second scalp in two overs.
The South African found significant inwards movement to take an inside-edge onto pad and to Vince at first slip.
Albert produced a second brilliant piece of fielding of the morning as Joe Leach’s penultimate Championship appearance ended in a run-out – after Logan van Beek had turned down a single.
Tom Taylor came out to bat at No.11 with a runner, but either side of some Amar Virdi swinging, but only lasted six balls before he edged Abbott behind.
Abbott now has 46 scalps in the Championship this season, having completed the game an hour into day four with the hosts bowled out for 158.