Troy Township is one of the sixteen townships of Morrow County, Ohio, United States. The 2020 census found 1,156 people in the township.

Morrow County is a county located in the central portion of the U.S. state of Ohio. As of the 2020 census, the population was 34,950. Its county seat is Mount Gilead. The county was organized in 1848 from parts of four neighboring counties and named for Jeremiah Morrow who was the Governor of Ohio from 1822 to 1826. Shawnee people used the area for hunting purposes before white settlers arrived in the early 19th century.