The Dragons joined Division I in 1973. Drexel has received bids to five Division I NCAA basketball tournaments in 1986, 1994, 1995, 1996, and most recently in 2021. During the 1996 tournament, Malik Rose led the team to their only second round NCAA appearance after an upset of fifth-seeded Memphis. Prior to this, Drexel had appeared in four Division II NCAA tournaments in 1957, 1960, 1966 and 1967, including the very first Division II tournament in 1957. The Dragons have appeared in the National Invitation Tournament (NIT) six times.