Jason Bay
Out of a possible six months, Ichiro Suzuki (2001, AL), Mike Trout (2012, AL) and Aaron Judge (2017, AL) won the Rookie of the Month award four times while Jason Bay (2004, NL), José Abreu (2014, AL), Juan Soto (2018 NL), and Yordan Alvarez (2019, AL) all won it three times. A number of players have won it twice.