He was the nephew of Clark Griffith, who raised Calvin from the age of 11. After Calvin's father died a year later, Clark adopted the boy. The senior Griffith owned the Washington Senators from 1920 until his death in 1955; upon his death, the team passed into the hands of Calvin, who had worked up through a variety of positions with the team, starting as a batboy, and serving a brief stint under Joe Engel and the Chattanooga Lookouts at Engel Stadium.
Under Calvin Griffith's ownership, just a few years after his father's death, Calvin moved the Senators to Minneapolis-St. Paul, Minnesota in 1961. They were renamed the Minnesota Twins. Famous for his sayings ("He'll either be the best manager in baseball - or the worst," he said when he gave a young Billy Martin his first manager job), one of his most infamous landed him in trouble in 1978, drawing charges of racism. Speaking at a Lions Club dinner in Waseca, Minnesota, Griffith was quoted as saying:
"I'll tell you why we came to Minnesota. It was when we found out you only had 15,000 blacks here. Black people don't go to ballgames, but they'll fill up a rassling ring and put up such a chant it'll scare you to death. We came here because you've got good, hardworking white people here."When his quote was reported in the Minneapolis Tribune, Griffith offered a conflicting defense: that his quotes had been taken out of context, that he had been misquoted entirely, and that he was joking, trying to get a laugh out of the crowd.
His best player, Rod Carew (already in a bitter contract dispute with Griffith), immediately declared he no longer desired to be "another nigger on (Griffith's) plantation." That off-season, Carew was traded to the California Angels. In 1984, buffeted by the changes in baseball brought about by free agency, Griffith sold the Twins to Minneapolis banker Carl Pohlad; Griffith wept at the signing ceremony.
Griffith died on October 20, 1999 at the age of 87. Ironically, he was buried back in Washington, D.C., a city he rarely visited after he moved the Senators to Minnesota, and as a result made him one of most disliked figures in Washington sports.