The 6-foot-2 point guard from Burlington, Ontario, will sit out the 2010-11 season to satisfy NCAA transfer rules and will retain three seasons of eligibility.
Heslip went to Boston College in December 2009 after spending the fall semester at New Hampton (N.H.) Prep, where he averaged 15.0 points and 7.0 rebounds.
"Brady comes from an amazing basketball lineage in Canada," Drew said. "His uncle (Jay Triano) was a great player and now coaches in the NBA (Toronto), his dad (Tom Heslip) was a great college player and his grandfather (Howie Triano) was considered by some as the 'Bob Cousy' of Canada. Not only is Brady a tremendous individual, he's a great shooter. He will continue the long line of Baylor guards that were great shooters."
Heslip is the second NCAA Division I transfer to sign with Baylor in 2010, joining former UCLA center and Dallas native J'mison Morgan, who signed with the Bears in April.