Born in St. John, Putnam County, Missouri, Klepper moved with his parents to Mirabile, Missouri, where he remained for ten years, and attended the common schools.
He moved to Clinton County, Missouri, and engaged in agricultural pursuits.
He attended Baker University, Baldwin City, Kansas, and engaged in teaching for two years.
He moved to Cameron, Missouri, in 1907 and continued the practice of law.
He again engaged in the practice of law in Cameron, Missouri, until his death in that city on August 4, 1933.