Old Rye () is a small town in eastern Jutland, Denmark, with a population of 1,299 (January 1, 2009).

Rye was a very important market town in medieval Denmark. In 1534, St. Søren's Church in Rye was the setting of the Election of Christian III as king of Denmark. Today, the town has been outgrown by the new town of Ry which, like so many other towns in Denmark, sprouted up around a railway station.