The 1885 Navy Midshipmen football team represented the United States Naval Academy in the 1885 college football season. The team was the fourth intercollegiate football squad to represent the United States Naval Academy, and marked the first time that the school played a multiple-game season. The squad was captained by halfback Cornelius Billings. The year began with a blowout victory over St. John's College, but was followed by close losses to Johns Hopkins University and the Princeton Tigers reserves squad. The season continued a seven-season, eight game rivalry between the Naval Academy and Johns Hopkins, and began a ten-game, seven-year rivalry with St. John's.