1879–80 Heart of Midlothian F.C. season

Season 1879–80 was the fifth season in which Heart of Midlothian competed at a Scottish national level, entering the Scottish Cup for the fifth time.

Overview
Hearts reached the third round of the Scottish Cup losing to Edinburgh derby rivals Hibs in the third rounds, in a match played at Mayfield Park, in the Mayfield area of Edinburgh. It was the third attempt at staging the match.

Scottish Cup

 * Game had to be replayed due to power failure.