Murray's first 3-pointer in the extra period made it 70-65 and his second pushed the lead to 75-68 with 1:23 left. The Norse (7-11, 3-4 Horizon) made 7 of 8 at the foul line from there.
Jalen Billups' tip-in put Northern Kentucky ahead for good on the first possession of overtime. Both teams went scoreless for nearly two minutes before Murray's 3s broke it open.
Murray hit one of his 3s with 3:44 left in regulation to make it 65-61, but UIC (2-16, 0-7) forced overtime with the last four points.
Lavone Holland II had 17 points and Billups added 12 for Norse.