Gregg received the same four-game suspension.
Orioles pitcher Mike Gonzalez, who threw behind Ortiz on Sunday, received a three-game suspension and a fine as well. As a result, manager Buck Showalter will serve a one-game suspension on Thursday night.
Ortiz will begin serving his suspension Friday night in Tampa, unless he decides to appeal his suspension. Ortiz appealed a suspension in 2004, getting a five-game punishment reduced to three games.