Paul Beauchamp "Billy" Williams (August 8, 1892 – July 14, 1973) was an American football, basketball, and baseball coach and college athletics administrator.

He was the Ball Teachers College's head basketball from 1922 to 1925, tallying a mark of 36–34–1, and the school's head baseball coach from 1922 to 1926 and from 1928 to 1958, amassing a record of 207–228–4.

In addition, Williams served as the school's athletic director from 1921 until 1958.

He died on July 14, 1973, at a nursing home in Muncie, Indiana.

This biographical article relating to a college football coach first appointed in the 1920s is a stub.