Play-off bound Bournemouth fell to their third straight defeat as Stoke ended a six-match winless run at the Vitality Stadium.
Will Forrester marked his senior debut by hooking a finish into the far corner after Jefferson Lerma missed with a wild swing attempting to clear a corner.
The Potters doubled their lead after the break when Sam Clucas' neat through ball sent Tommy Smith clear to drill a precise low finish into the far corner.
The defeat, combined with Barnsley's draw with Norwich, dropped Bournemouth to sixth and set up a play-off semi-final with Brentford.