The highway's southern terminus is at SR 53 in the census-designated place of McCutchenville about 5 miles (8.0 km) southeast of New Riegel.

Its northern terminus is at a T-intersection with SR 18 in the southeastern corner of the city of Fostoria.

SR 587 is located in the extreme northern portion of Wyandot County and the southwestern quadrant of Seneca County.

The highway originally consisted of today's Wyandot County Road 35 from SR 67 approximately 2 miles (3.2 km) southwest of Sycamore to the intersection marking SR 587's southern terminus at SR 53 in McCutchenville and the entirety of the current SR 587.

[2][3] In 1965, the portion of SR 587 southeast of McCutchenville was removed from the state highway system.