The Greyhounds have a winning tradition having posted 19 straight winning seasons from 1980 to 1999 and competing in the conference playoffs 20 times. Moravian has also made the NCAA Division III Playoffs seven times including 2009 and hosted the 1992 National Championship Final Four, losing in the title contest. Moravian has traveled to Las Vegas; St. Thomas, Virgin Islands; Boston; Texas; and the Bahamas for tournaments in the past 13 years.