Hampshire won the toss, electing to field first and Durham got off to a quick scoring start with Phil Mustard and Ian Blackwell opening for the hosts. The latter was the first to fall, caught by Vince off the bowling of Tomlinson for 18, bringing Ben Harmison to the middle.
The pair put on fifty from just 37 balls pushing the Durham total past the hundred mark after 17 overs. Mustard reached his fifty off 55 deliveries, including four boundaries and a six, and went on to score 74 before he was trapped lbw off Dawson, leaving Durham 145-2.
Durham were 179-3 once Ben Harmison, whose fifty came off 68 deliveries and included three boundaries, was bowled by Ervine for 52.
Ben Stokes and Dale Benkenstein pushed the total past the 200 mark, with the former adding 24 before he was caught by Cork off Riazuddin. Durham were 243-5 when Benkenstein was run out on 29.
Gordon Muchall added 12 but was caught by Adams off Tomlinson bringing Will Smith (8*) to the crease to see off the final overs with Liam Plunkett (12*) .
Durham posted a first innings total of 264 from their forty overs.
In response, Will Gidman and Chris Rushworth, who played in place of the injured Mitchell Claydon and Neil Killeen, picked up four wickets (Adams, Carberry, McKenzie and Pothas) between them in the first seven overs, leaving Hampshire 29-4.
Ervine was caught at gully by Benkenstein for 1, giving Gidman his fourth wicket of the match. Vince top scored with 27 and was eventually trapped lbw by Ben Harmison with Hampshire 53-6.
A superb one handed catch from Liam Plunkett off his own bowling saw Dawson out for 14 and Hampshire seven down for just 71 runs.
Harmison picked up his second wicket, bowling Cork for 5, as the visitors reached 83. A second catch from Benkenstein off the bowling off Rushworth saw Brigggs out for just one. After 20 overs Hampshire were 95-9. The final two added 20, with Tomlinson the last wicket to fall, caught by Muchall off Breese.
Durham Dynamos beat Hampshire Royals by 149 runs in just 23 overs. Highlights will be online from Monday.
Post match interview with Will Gidman can be viewed at www.durhamccc.co.uk/durhamtv/interviews