Burke requested the leave following conversations with University officials on Tuesday.
"Decisions like these are never easy, and certainly more difficult while our season is in progress," said Director of Athletics Lynne Robinson. "We wish Coach Burke well and we are hopeful he is able to resolve these matters quickly."
Burke was appointed as Head Coach at Mount St. Mary's in May of 2010, and amassed a 17-40 record overall. The Mountaineers are currently 6-19 this season, 4-10 in the Northeast Conference, and in ninth place in the 12-team conference standings.