Carberry completed Hampshire’s first maximum-points win on the road since September 2008 by making his first hundred of the season as Gloucestershire were beaten by eight wickets at Bristol.
The opening batsman hit two of his three sixes to bring up his 100 from only 131 balls as Hampshire reached their 215-run target for the loss of just two wickets; Jimmy Adams (23) and Liam Dawson (25).
Carberry shared an unbroken stand of 101 in just ten overs with first-innings centurion James Vince, who completed an outstanding game with an unbeaten 58 from only 36 balls (ten fours, two sixes).
Hampshire began the final day by taking Gloucestershire’s final wicket.
Gloucestershire, having resumed their second innings on 308-9, were bowled out for 332 when Hamish Marshall played on against Kyle Abbott for 94.
Abbott finished with match figures of 7-153 on debut.
Captain Jimmy Adams said: “It’s only a start but we had to put in a lot of hard work so this is a fantastic win, we’re delighted.
“The bowlers did the hard yards and Carbs returned to form at the end so we’re delighted.
“Chasing 215, we knew it was important to get through the new-ball spell. But it was fairly hard to get their last few wickets which showed it was a still a decent wicket and a couple of good partnerships as the ball got older took the sting out of it.”
There was some bad news for Hampshire, however. An X- Ray has confirmed that Adam Wheater has a broken index finger, effectively ruling him out of next week’s Championship match against Derbyshire at Derby.
And it was not such a good day for Hampshire II in their three-day friendly against Surrey at Guildford. Tom Alsop scored a magnificent 150 from 201 balls as they made 377 against a Surrey attack including Chris Tremlett (5-31).
But the home side has responded with 454-7, Jason Roy scoring a double century. David Balcombe (4-87) was the pick of the Hampshire attack.