Trailing by seven with just over 5 minutes left, Syracuse tied it at 55 on Michael Carter-Williams’ 3-pointer from the top of the key with 80 seconds left.
Fair’s tip came after Jerami Grant drove the lane and missed. Cincinnati’s Cashmere Wright missed a 3 from straight on with 2.9 seconds left and the Orange had their 35th straight win at home, the longest active streak in Division I.
The Orange outscored the Bearcats 13-4 in the final minutes. Fair finished with 13 points.
Syracuse (18-1, 6-0 Big East) was coming off a 70-68 win at Louisville on Saturday that knocked the Cardinals out of the No. 1 spot in the nation. The Orange, tied for third in the rankings with Kansas, are the only Big East team with an unblemished conference record.
Syracuse is 28-1 in regular-season play in the Big East in the past two years, that lone loss coming at Notre Dame exactly one year ago Monday.
The Bearcats (16-4, 4-3 Big East) had won three in a row. They lost on the road for the first time in eight games.
Carter-Williams had 16 points and seven assists and Brandon Triche had 13 points for the Orange.
GEORGETOWN 63, NO. 24 NOTRE DAME 47
In South Bend, Ind., Otto Porter scored 19 points to lead Georgetown to a victory over Notre Dame, the Fighting Irish’s third loss in four games.
The Irish (15-4, 3-3 Big East) went on long stretches without scoring in both halves, while Georgetown (13-4, 3-3) shot 53 percent from the field.
Jerian Grant led Notre Dame with 13 points.
AP POLL: Duke is No. 1 in The Associated Press’ college basketball poll after dropping from the top spot for one week.
The Blue Devils, who fell to No. 3 last week, took advantage of losses by Louisville and Indiana to move back to No. 1, their fifth week on top this season. Duke received 39 first-place votes from the 65-member national media panel.
Michigan, which jumped from fifth to second, had 11 No. 1 votes. Kansas, which had seven first-place votes, and Syracuse, which knocked Louisville out of No. 1, tied for third. Syracuse received eight No. 1 votes.