Warwickshire added runs quickly in the opening overs of day four but lost two wickets in three balls when Jim Troughton was caught behind in the 23rd over, becoming Ben Stokes seventh wicket of the match.
Darren Maddy (25) then steered a Callum Thorp delivery to Scott Borthwick at third slip leaving Warwickshire 71-5.
The hosts were six down just short of the hundred mark when Ruel Brathwaite had Tim Ambrose trapped lbw for 9.
A loose drive from Rikki Clarke (46) saw him caught behind off Stephen Harmison in his fourth over reducing Warwickshire to 134-7.
At lunch Warwickshire were 149-7.
Gareth Breese replaced Stephen Harmison in the field after the seamer was unable to participate in the rest of the day due to a spinal joint sprain.
Keith Barker and Naqaash Tahir put on a fifty partnership with former going on to score his maiden first class fifty, from 85 balls including eight boundaries.
The pair batted confidently against an attacking Durham field and contributed a partnership of 117 which included Barker going on to make his hundred, off 152 delivers, before being caught in the slips by Di Venuto off Blackwell for 101.
The wicket brought about tea, at which point the hosts were 251-8 with Metters set to join Tahir (22*).
The new ball wasn’t taken until the 92nd over, at which point Callum Thorp returned to the attack after the spell by the spinners.
Naqaash Tahir batted an incredibly patient innings, scoring his fifty, which included seven fours, off 186 balls.
On an increasingly flat pitch, it was Ruel Brathwaite who claimed the elusive ninth wicket, bowling Metters for 25.
It was Brathwaite who finally secured Durham the win, by an innings and 103 runs with 54 balls to spare after Tahir was caught at fourth slip by Thorp for 53.
At the close we caught up with Head Coach Geoff Cook, said, “We’ve had a fantastic few weeks, hats off to the team, they’ve played brilliantly to secure to two maximum point wins away from home at Worcestershire and Warwickshire.
“They played well in the one day game here too but I think batting second was an advantage and Warwickshire were able to knock off a good total.
“We’ve played good, decent cricket all season and I think the guys know the areas they need to improve in. We’re making some good progress and getting good platforms for victory with the bat and working hard with the ball to bring that into fruition”