Eli Eldo Cates (January 26, 1877 – May 29, 1964) was a Major League Baseball pitcher. Cates played for the Washington Senators in 1908.
On August 10, 1902, Cates pitched a notable minor league baseball no-hitter. On that date, the Nevada Lunatics and Jefferson City Convicts of the Class D Missouri Valley League played a game that resulted in a double no-hitter. Both Jefferson City's Jim Courtwright and Nevada's Eli Cates pitched no–hit games. Nevada won the game 1–0. A double no-hitter has happened just 10 times in baseball history, all at the minor league level.