Danny Ings's 24th goal of the season has fired Burnley into the lead at half time.
Ings's right-footed strike from outside the box rocketed into the top corner, leaving Yeovil Town keeper Marek Stech with no chance to give the away side the lead after 19 minutes.
The same man came close to making it two shortly after, though his bending effort following a Scott Arfield backheel went narrowly over the crossbar.
A win for Burnley will ensure they remain in the second automatic promotion spot.