Rajiv van la Parra tucked away a stoppage time penalty to complete a satisfying afternoon for David Wagner's side.
The one time a clacker-ful ground fell silent was 15 minutes from the end when Mooy was left holding his head in his hands on a stretcher.
Mooy had his head in his hands as he was taken off but fears of a serious injury for the Australia midfielder ahead of the World Cup in Russian Federation have been allayed, with British broadcaster BT Sport saying it was a deep cut.
"We have to see what he looks like in the upcoming days - how long he will be sidelined".
Huddersfield began their first Premier League season impressively but have struggled to replicate their early verve and had not won for eight games before Sunday.
Midfielder Pritchard, a £14m January signing from Norwich, collected Mounie's cut-back to sweep in his first goal for Huddersfield after just seven minutes.
"We needed a few minutes at the start where Bournemouth were strong but after that we played superb football".
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.
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