Richard Graham Frost (December 29, 1851 - February 1, 1900) was a U.S. Representative from Missouri.
Born in St. Louis, Missouri, Frost attended St. John's College, New York City, the University of London, and the St. Louis (Missouri) Law School. He was admitted to the bar and practiced in St. Louis, Missouri. He unsuccessfully contested as a Democrat the election in 1876 of Lyne S. Metcalfe to the Forty-fifth Congress.
Frost was elected as a Democrat to the Forty-sixth Congress (March 4, 1879-March 3, 1881). Presented credentials as a Member-elect to the Forty-seventh Congress and served from March 4, 1881, until March 2, 1883, when he was succeeded by Gustavus Sessinghaus, who contested his election. He resumed the practice of law. He died in St. Louis, Missouri, February 1, 1900. He was interred in Calvary Cemetery.