Andrew James Peters (April 3, 1872 – July 26, 1938) was an American politician. He was born on April 3, 1872 in Jamaica Plain, a section of Boston. His family had been in Massachusetts since the first Andrew Peters arrived there in 1657. Peters attended Harvard University and Harvard Law School. He served two terms (1904, 1905) in the Massachusetts State Legislature. In 1906 he was elected to Congress where he would serve from 1907 to 1914.