 He was confirmed by the United States Senate on May 4, 1882, and received his commission the same day.His service terminated on June 14, 1902, due to his elevation to the Second Circuit.Coxe was nominated by President Theodore Roosevelt on May 29, 1902, to the United States Court of Appeals for the Second Circuit and the United States Circuit Courts for the Second Circuit, to a new joint seat authorized by 32 Stat.