Rajiv van la Parra tucked away a stoppage time penalty to complete a satisfying afternoon for David Wagner's side.
Huddersfield's first league win in nine matches was marred by an injury to Australia midfielder Mooy, who was stretchered off with a knee problem 15 minutes from time.
Mooy suffered a deep cut to his left knee after a collision with Bournemouth's Lewis Cook.
"We should look as hungry, if not hungrier than them - that's no excuse for us".
The Villans maintained their chase for promotion back to the Premier League with a 2-0 win over their struggling neighbours Birmingham City, pushing themselves into the automatic promotion spots.
Mounie demonstrated his strength in the air by leaping highest at a free kick to meet Mooy's delivery with a downward header past Asmir Begovic.
Their lead might have been wiped out again before half-time, as Steve Cook met Charlie Daniels' clever low corner with a glancing shot that brushed the outside of the post as it rolled wide.
"We needed a few minutes at the start where Bournemouth were strong but after that we played superb football".
The clash between Premier League sides Huddersfield and Bournemouth was well into the dying stages when the cameras panned to Huddersfield manager, David Wagner, watching on from the sidelines.
Pritchard swept in Mounie's pass after seven minutes for his first goal since joining the club but the home jitters returned when Stanislas took a touch before slotting an equaliser.