McDermott scored 11 points in the first half when Butler took a 29-22 lead and Tucker scored all his points over an 8 1/2-minute span of the second half, finishing a 20-6 run with three consecutive 3-pointers for a 53-32 lead with six minutes to go.
Tucker had four 3-pointers and McDermott three. DePaul, meanwhile, missed 11 shots from the arc before Romeo Weems extended the Blue Demons' streak of consecutive games with a 3 to 835 when he sank one with 19 seconds remaining.
Butler's Kamar Baldwin had nine points, eight rebounds, six steals and three blocks.
Butler (20-9, 8-8 Big East) posted its 20th 20-win season over the past 24 campaigns.
DePaul (14-15, 2-14) beat Butler 79-66 on Jan. 18 to end an 11-game win streak in the series by the Bulldogs.
Butler faces St. John's at home on Wednesday. DePaul plays Marquette at home on Tuesday.
For more AP college basketball coverage: https://apnews.com/Collegebasketball and http://twitter.com/AP-Top25
This was generated by Automated Insights, http://www.automatedinsights.com/ap, using data from STATS LLC, https://www.stats.com
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