The 25-year-old has penned a three-year deal at Turf Moor for an undisclosed fee.
Jutkiewicz spent the second half of last season on loan at Bolton Wanderers, where he scored seven goals in 20 appearances.
"We're looking forward to getting him into the group and making him feel welcome here," Burnley boss Sean Dyche told the club's official website.
"I still think there is development in Lukas. He's 25 and has been around a little bit now and he finished last season very strongly.
"I feel there is even more to come and he'll be hungry for that. He'll be working with a good group who are all hungry to not only achieve things but to keep pushing themselves as individuals."
Jutkiewicz is due to join up with his new teammates at their pre-season training camp in Austria.