Burgess, 24, joins siblings Sam and George Burgess at the Rabbitohs after signing an agreement to keep him with the club until the end of 2013.
The former Harlequins player is set to join his new team mates as early as next week.
Rabbitohs CEO Shane Richardson is pleased to have secured the signature of another Burgess for South Sydney.
“Luke will be a welcome addition to our front row stocks, not only now but also for the following two seasons,” Mr Richardson said.
“Obviously Sam has become one of the Club’s leading lights and George is progressing well through our feeder Club at North Sydney, and we’re looking forward to adding Luke to our roster and having him push for a first grade berth as well.”