1885–86 Heart of Midlothian F.C. season

Season 1885–86 was the eleventh season in which Heart of Midlothian competed at a Scottish national level, entering the Scottish Cup for the eleventh time.

Overview
Hearts reached the second round of the Scottish Cup and were knocked out by Edinburgh rivals Hibs. They had to play their first round tie twice due to a protest by St Bernard's they won both games.