Edgar Weeks (August 3, 1839 – December 17, 1904) was a military officer, judge and politician from the U.S. state of Michigan.

Weeks was born in Mount Clemens, Michigan, where he attended the public schools and learned the printing trade.

He was appointed assistant inspector general of the Third Brigade, Second Division, Reserve Corps, Army of the Cumberland, in 1863 and was mustered out in December 1863.

Edgar Weeks resumed the practice of law and died at the age of sixty-five in Mount Clemens, where he is interred in the Clinton Grove Cemetery.

Senator from Massachusetts, and U.S. Secretary of War under Presidents Warren G. Harding and Calvin Coolidge.