The Potters took a first-half lead courtesy of a poachers finish from George Waring, and John Perkins' side doubled their advantage after half-time when Marcel Barrington found the back of the net with a great volley.
Declan Weeks pulled a goal back for Wolves in the last minute, but Stoke held on for a deserved three points that ends their two-game losing streak following back-to-back defeats against Sunderland and Tottenham.
The Potters had the first chance of the game when pressure from Barrington forced the home defence into giving the ball away to Waring. The striker worked his way into the box only to fire his shot wide of the post.
Wanderers had a chance to open the scoring following a quick breakaway from a Stoke corner, but Potters goalkeeper Dale Eve got down well to block Ibrahim Keita's strike from a tight angle.
A slick Stoke move followed involving a neat one-two between Kris Scott and Charlie Ward with the former playing the ball inside to Peter Makrillos. The midfielder passed to Waring, who returned the ball to
Makrillos to strike at goal from the edge of the area, only to be denied by a great save from the home 'keeper who tipped the ball against the crossbar and out of danger.
The Potters weren't to be denied again, however, as they opened the scoring 15 minutes in with a deserved goal. Makrillos saw his drive saved by the 'keeper, but he could only parry it and Waring was quickest to react to fire the ball into the top of the net.
Waring tried to get a second soon after, but his header was saved, and Eve had to be alert at the other end to deny the home side. Barrington fired over when one-on-one and crossed the ball for Waring soon after who couldn't direct his header on target.
Ward then shot wide from distance before Scott saw his first-time volley saved by the Wolves goalie. Jake Cook made a surging run with the ball from his own half to the edge of the box, where he played in Waring, but the striker's shot lacked power to trouble Scott Dutton.
Stoke deserved their half-time lead after a dominant performance in the first period, but the home side missed a great chance to pull a goal back on the hour mark.
The ball fell to substitute Daniel Murray just six-yards from goal in acres of space, but the winger shot straight at Eve with just the goalkeeper to beat. Makrillos saw his curling effort go over before Barrington doubled Stoke's lead.
Scott got the ball from a throw-in and played a great cross to the back-post to Barrington, who chested the ball and volleyed a superb finish into the back of the net to make it 2-0.
Provider Scott nearly turned goalscorer when he was played in by substitute Ollie Shenton, only to see his shot go inches wide of the goal. Wolves pulled a goal back one minute from time courtesy of a great strike from Weeks but it would prove to be a mere consolation for the home side.
Shenton then saw another shot well saved late on as Stoke pushed for a third, but the Potters will be happy with their 2-1 victory with strikers Waring and Barrington proving to be a handful all game for the opposition.
The young Potters host Liverpool at the Britannia Stadium on Wednesday evening in their next fixture, and the Merseyside club will be seeking revenge as Stoke ran out 4-1 winners when the two sides last met in March.
Stoke: Eve; Cook, Watkins, Sanders, Hulme, Monlouis; Makrillos (Shenton, 78); Ward, Scott (Ricketts-Hopkinson, 90); Waring, Barrington
Wolves: Dutton; Rainey, Iorfa, O'Hanlon, Keane (Weeks, 45); Trialist, Trialist, Kellermann, Smith (Murray, 55), Moli; Keita