Joseph Gordon Mueller (December 10, 1922 – September 7, 2006) was an American relief pitcher in Major League Baseball who played briefly for the Boston Red Sox during the 1950 season. Listed at 6 feet 4 inches (1.93 m) and 200 pounds (91 kg), Mueller batted and threw right-handed. He was born in Baltimore, attended Loyola College in Maryland, and served in the United States Navy during World War II. Mueller died at the age of 83 in Timonium, Maryland where he lived.