Toronto has won just once in five tries at home, but the Maple Leafs improved to 5-1 on the road with their comeback victory.
Frattin tipped in a shot to tie it with 5:02 left in regulation and Kessel scored 54 seconds later on the power play. Kessel's goal came 28 seconds after Alexei Ponikarovsky was sent off for holding.
Reimer made 23 saves in what was Toronto's second win in a row. Ondrej Pavelec stopped 15-of-18 shots for the Jets, who have lost four of five.
Notable deaths of 2014 [PHOTOS]
Arizona Cardinals player formally charged