In the era of FR Yugoslavia, RK Mojkovac (then RK Brskovo) participated in the First League during the season 1992/93.
RK Mojkovac played in the Montenegrin First League during the seasons 2006/07, 2007/08, 2008/09, 2010/11, 2011/12, 2012/13, 2013/14, 2014/15.