Bradley has appeared in nine NCAA Tournaments, including two Final Fours and national championship games in 1950 and 1954. They last appeared in the NCAA tournament in 2019, and last reached the NCAA Sweet Sixteen in 2006. The Braves have also appeared in the National Invitation Tournament 21 times with an all-time NIT record of 26–18 and have won four NIT championships (1957, 1960, 1964, and 1982), second only to St. John's in appearances (30) and titles (5). Until the introduction of the Vegas 16 tournament in 2016, the program was invited to the initial offering of every national postseason tournament.
