The facility is named after former Major League Baseball player Thurman Munson, who grew up in Canton.

Munson was a catcher for the New York Yankees who was killed when his private plane was attempting to land at Akron–Canton Airport in Summit County on August 2, 1979.

Following the departure of the Indians, Thurman Munson Stadium became the home of the Canton Crocodiles, a team of the independent Frontier League, through 2001.

The ballpark, leased and managed by the Ohio Men's Senior Baseball League, hosts additional high school games and tournaments throughout the season.

Canton McKinley began using the stadium for all home baseball games in 2016 and made the change permanent in 2021.