The following are the baseball events of the year 1960 throughout the world.

The Allentown Red Sox (A-Sox) were a minor league baseball team, affiliated with the Boston Red Sox and based in Allentown, Pennsylvania, that played from 1958 through 1960 in the Eastern League. At that time, the Eastern League was officially Class A, but, prior to the minor-league classification realignment that took place in 1963, that level was almost equivalent to Double-A.