The Blue Devils (9-1, 5-0 Northeast Conference) are ranked No. 20 in the STATS FCS 25, but had to scramble for the win.
The Red Flash (4-6, 2-4) outgained CCSU 434-367 in total offense, ran a dozen more plays, and led 31-28 lead with a little more than four minutes left in the game.
Jason Brown, who completed 35 of 52 for 355 yards, found Ra'Shaun He for a 31-yard TD and the late lead.
Winchester then directed the Blue Devils down to the 2-yard line with five seconds on the clock, setting up Joe Zoppi's 19-yard field goal that sent the game into overtime.
It was St. Francis' third OT in six Northeast Conference games this season, and the Red Flash have yet to win one.
In overtime, CCSU had first possession and, with two completions, Winchester had the Blue Devils up by seven.
St. Francis' answering drive stalled at fourth-and-5 when Brown was sacked by Mike Mushaw for a 12-yard loss.
https://apnews.com/tag/Collegefootball and https://twitter.com/AP-Top25
Governors, Vandy AD weigh in on The Paul Finebaum Show
Five Minute Finebaum: Tennessee Gov. Bill Lee, Mississippi Gov. Tate Reeves and Vanderbilt athletic director Candice Storey Lee partake in important discussions.
Big 12 commissioner Bob Bowlsby 'bullish' football can start on time
Big 12 commissioner Bob Bowlsby said Friday that he's more "bullish about our opportunity" for the college football season to start on time than he was 30 days ago.
Power 5 commissioners fear different compensation rules for different states
Stadium Network's Brett McMurphy discusses the Power 5 conference commissioners wanting Congress to proceed with legislation about compensation for college athletes.
Power 5 conferences ask Congress for college athlete compensation law
The Power 5 conference commissioners are asking Congress to move forward with federal legislation regarding compensation for college athletes.
Muschamp details plan for when players return
South Carolina head coach Will Muschamp joins The Paul Finebaum Show and shares how his staff will handle the players when they begin training for the season.
Former Michigan tight end Chuck Christian first named plaintiff in sexual abuse lawsuit
Former Michigan football player Chuck Christian filed a lawsuit against the university's regents last week, making him the first named plaintiff in the burgeoning legal action regarding the alleged sexual abuse of former team doctor Robert Anderson.