If you are speaking of NCAA Men's Basketball, the record for Most NCAA Championship Titles is UCLA with 11 (Coach John Wooden won 10 of the 11 NCAA titles at UCLA) Most NCAA Championship Titles: UCLA 11 Kentucky 7 Indiana 5 North Carolina 4 Duke 3
UCLA has won 11 NCAA mens championships. Tennessee has won 8 NCAA women's championships.
Alabama
As of May 21, 2011 (thanks to Women's Golf), UCLA now has a total of 107 NCAA championship titles. Go Bruins!
University of North Carolina at Chapel Hill
UCLA holds the record for the most consecutive championships. winning 7 in a row from 1967-1973
UCLA holds the record for the most NCAA Men's Division
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The UCLA Bruins :11
Princeton has the most with 28. http://en.wikipedia.org/wiki/College_football_national_championships_in_NCAA_Division_I_FBS#National_championship_claims_by_school
The UCLA Lady Bruins have won the most National Championships in Collegiate Fastpitch Softball...I believe they have won 25 or 26 National Championships.
UCLA with 11 championships.