Hoyt is a city in Jackson County, Kansas, United States. As of the 2020 census, the population of the city was 593. Hoyt was founded in 1886…Hoyt is a city in Jackson County, Kansas, United States. As of the 2020 census, the population of the city was 593. Hoyt was founded in 1886. It was named for George Henry Hoyt, an abolitionist and attorney for John Brown.