Glisson (born January 6, 1939) is a former American politician in the state of Florida.
Glisson was born in Jackson County, Florida.
He attended Palmer College and earned a degree in chiropractic studies He served in the Florida House of Representatives for the 33rd district from 1968 to 1972, as a Republican.
He was elected to the State Senate in 1973 and served the 11th district until 1978.
In 1976, he changed his party affiliation from Republican to Democratic.