MLB said it has also fined Carrasco an undisclosed amount for an incident in Tuesday's 14-1 loss to the New York Yankees, in which Carrasco threw near and then hit Yankees infielder Kevin Youkilis.
Carrasco was ejected and the Indians Wednesday optioned him to Triple-A Columbus.
Carrasco could appeal the suspension but if it eventually takes effect, he will have to serve it in the majors.
The 26-year-old right-hander was suspended for six games in 2011 for throwing at Kansas City Royals DH Billy Butler.
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