Jardine was 7-of-9 shooting and Rick Jackson had 17 points and 16 rebounds for the Orange (9-0).
Kris Joseph added 14 for Syracuse, who led wire-to-wire and out-rebounded the Spartans (6-3) 31-26.
Syracuse led 38-29 at the half. Michigan State cut the lead to 50-47 with 12:24 to play but did not score again until 8:58 remained and Syracuse had expanded its lead to 56-47.
The Orange went on an 8-0 in the closing minutes to nail down the victory.
Pistorius testifies he didn't consciously pull trigger when he shot girlfriend
Pot vending machine to debut