Marcus Tavernier opened the scoring inside five minutes with a goal that got a heavy deflection and went in off the underside of the bar after a flying Cherries start.
While the game settled down, Bournemouth were the better side throughout and Wolves did not threaten.
The Daily Echo rates the Cherries players in victory.
**Djordje Petrovic: 7**
The keeper made the only save he needed to, and it was a good one, down to his right from a Jorgen Strand Larsen header. He was largely untroubled after that, but his distribution was good and he looks to be settling in nicely.
**Adrien Truffert: 7**
The left back was good again and looks right at home in the Cherries side. He looked a threat overlapping on the left and combined well with Antoine Semenyo.
_(Image: Steven Paston/PA Wire)_ **Bafode Diakite: 8**
The Frenchman got better as the game went on but he and Senesi looked very good against what was admittedly a pretty blunt Wolves attack.
**Marcos Senesi: 8**
As above, Senesi looked more and more comfortable with Diakite as the 90 minutes progressed. The pair kept Jorgen Strand Larsen down to just one chance for the game.
**Adam Smith: 7**
The skipper was impressive, dependable as ever and strong defensively, while contributing going forward.
**Tyler Adams: 9**
The American was excellent and looks set to play a key role this season. He made a couple of key interventions including one which saw him marshal David Moller Wolfe out wide and restrict him to a cross only when he looked to be in on goal.
**Alex Scott: 7**
Scott was good in midfield, dropping into a more conventional number 8 role after last Friday’s slightly tweaked midfield to match up with Liverpool. Possibly could have done a little better with a couple of first half chances.
_(Image: Steven Paston/PA Wire)_ **Antoine Semenyo: 7**
Semenyo was his usual threatening self. He, too, had a couple of good opportunities and arguably should have scored with ten minutes on the clock, but struck the bar from four yards after an excellent Brooks cross.
**Marcus Tavernier: 8**
The Englishman got the key goal, and he was good in the press throughout the game.
**David Brooks: 9**
Another brilliant showing from the Welshman. He was deservedly named man of the match and was a real handful for the Wolves defence, with some wonderful crosses that deserved a finish.
**Evanilson: 8**
The Brazilian was very good in drawing the foul that led to Toti’s red card. His all-round play was as good as ever and he made some brilliant runs that were picked out on occasion, particularly by Brooks. Needs a goal to get up and running for the season, though.
Substitutes:
**Amine Adli: 7**
The Moroccan looked bright on his debut and didn’t look afraid to take on his man – an exciting first outing for the winger.
**Ryan Christie: 6**
**Justin Kluivert: 6**
**James Hill: N/A**
**Eli Junior Kroupi: N/A**