Apperson (December 23, 1834 – April 3, 1917) was an American steamboat captain and military officer who also served in the Oregon Legislative Assembly.
He was born in Christian County, Kentucky, son of Beverly Apperson and Jane Gilbert Tubbs.
He was a steamboat captain and owner on the Willamette River in the 1850s.
He served as a first lieutenant in Company "E" of the Oregon Cavalry during the American Civil War.
He was sheriff of Clackamas County.
He served in the Oregon House of Representatives in 1870 and in the Oregon State Senate from 1878 to 1881, but was defeated when he ran for reelection in 1882.
In 1889, he served again in the Oregon House of Representatives, after being elected to a seat in 1888.