After leading by as many as 11 points, the Orange allowed their lead to dwindle down to three at the break, 32-29.
Keeping the back-and-forth motif going in the second half, the lead switched hands five times.
But with 5:08 remaining, Marquette would take the advantage for good, fittingly off of a make by junior forward Davante Gardner. Gardner finished with an all-time single-game high of 26 points, connecting on all seven of his attempts from the field and 12-for-13 from the free throw line.
Syracuse hit late threes to get within three, but time ran out in a 74-71 loss.
Five of six losses by the Orange have come on the road as the Orange dip below the Golden Eagles, who are flying high with a better opportunity to claim the top spot in the Big East Conference after the victory.