The 1959–60 Greenlandic Football Championship (also known as the Danish: Fodboldturneringen Grønlandturneringen, Fodboldmesterskab i Grønland or Greenlandic: Angutit Inersimasut GM) was the 3rd edition of the Greenlandic Men's Football Championship. Played on a knock-out basis, the final round was held at in Nuuk. It was won by Nanok who defeated Kissaviarsuk-33 in the final.