Friendship is a town in Allegany County, New York, United States.

Friendship is near the center of Allegany County and is northeast of the city of Olean.

Originally, the town gained the name of "Bloody Corners" due to the high incidence of feuding, and alleged weekend fights.

It is believed the named derived from the wishes of early settlers, many of who were Seventh Day Baptists.

Many of the original wood structures in Friendship village were destroyed in fires in the 1870s and replaced with brick building.

The Hyde House Garden from the Friendship of 1870 has been moved to the Genesee Country Museum.