Forced into a second day as they strived for their first major domestic trophy, Durham's bid for victory was held up by more rain until 12.30pm (BST).
Lions' But, following a delay of an hour and 45 minutes, Hampshire - 158 for five overnight chasing a target of 313 - collapsed to 187 all out in front of just a few hundred spectators.
Nic Pothas and Dimitri Mascarenhas took the total to 174, but Pothas was caught at deep square-leg by Graham Onions for 47 off Paul Collingwood and Mascarenhas was bowled by Liam Plunkett for 12.
It became four wickets for eight runs when Chris Tremlett skied a catch to Michael Di Venuto off Collingwood for a duck and Daren Powell gave a simple chance to Collingwood off Plunkett for one.
Hampshire captain Shane Warne was greeted with a no-ball bouncer by old foe Collingwood, but it was Plunkett who bowled the Australian for five to end the innings in the 41st over.
Plunkett also accounted for the last wicket to fall removing Windies seamer Powell, who had a poor outing with the ball yesterday going for 80 runs without wicket in his 10 overs, with an away going delivery inducing an edge only to find Collingwood's safe pair of hands stationed at second slip.
Durham 312 for 5 in 50 overs (Chanderpaul 78, Benkenstein 61 n o, Coetzer 61, Mustard 49; Powell 2 for 80, Sean Ervine 1 for 34) beat Hampshire 187 all out in 41 overs (Crawley 68, Nic Pothas 47, Carberry 23; Gibson 3 for 24, Collingwood 3 for 33, Plunkett 3 for 42) by 125 runs.