The Chicago Colts (later know as the Cubs) of the National League established the record for most runs scored in a game by one team on June 29, 1897 when they destroyed the Louisville Colonels in a 36-7 rout. The modern NL record would be set by the Cardinals in 1929 when they beat the Phillies, 28-6, at Philadelphia’s Baker Bowl.
1897 Lousiville Colonels (SABR)