Season 1880β81 was the sixth season in which Heart of Midlothian competed at a Scottish national level, entering the Scottish Cup for the sixth time.
Hearts reached the fifth round of the Scottish Cup losing to Arthurlie. [1]
Hearts reached the third round of the Edinburgh FA Cup losing to city rival Hibs. [2] On the way Hearts recorded their biggest known victory against Anchor winning 21β0. [3]