Fidel Edwards (5-58) reached his first five wicket haul for the Club as Hampshire secured their first Championship win of the season in style inside three days at Hove.
The West-Indian added a fifth wicket to the four from the previous day early in the morning session whilst Jackson Bird (2-72) and Danny Briggs (1-41) contributed with wickets to see Sussex dismissed for 266 – setting Hampshire 126 runs to win.
Hampshire then wasted no time in chasing the target with Sean Terry (62*) hitting his career-best first-class score to help Hants secure the comfortable six wicket win in the evening session.
The victory moves Hampshire off the bottom of Division One and into sixth place.
Terry and Jimmy Adams (30) put on 51 for the first wicket to settle any nerves before off-spinner Luke Wells claimed the first of two wickets when Adams (30) was caught on the drive at mid-wicket by Mike Yardy.
Michael Carberry (6) gloved a ball from Matt Hobden down the leg side and Hampshire lost their third wicket just before tea when Vince, looking to hit Wells over mid-on, got a top edge and was taken at slip for 10.
Smith became Hobden’s second victim but by then Hampshire were only six runs short of victory.
Earlier, Sussex had lost their last four wickets in 23 balls for the addition of just four runs after Luke Wright and Ben Brown had seemed capable of frustrating Hampshire.
They added 120 for the seventh wicket with Wright top-scoring with 84 and Brown making 52.
Wright, who had resumed on 28, looked to be positive at every opportunity although solid defence was the only way of combating the lively Edwards who produced another aggressive spell down the slope, removing night watchman Steve Magoffin, who was caught at slip, with the fourth ball of the day.
Wright had been there for nearly three hours for his 84, which included 13 fours and a six, when he took on Will Smith’s arm in the covers looking for a second run and was beaten by a brilliant direct hit with only one stump to aim at.
Brown then succumbed to a brute of a delivery from Bird which he gloved to slip in the last over before lunch, having struck ten fours in a gutsy half-century.
Bird picked up his second wicket courtesy of Ollie Robinson’s ill-judged hook to long leg and Briggs was rewarded for 30 overs of toil into a strong wind when he wrapped up the innings courtesy of a bat-pad by Terry to remove Fynn Hudson-Prentice for a duck.