The Seasiders won all five of their games during the month, culminating in Saturday's 2-0 win over Scunthorpe at Bloomfield Road.
Despite the Iron's defeat in Lancashire, they were crowned champions thanks to Bristol City's defeat at Millwall.
Grayson could yet be celebrating a promotion on Saturday, if they beat Swansea City they could sneak into the second automatic promotion spot.
Nottingham Forest's Colin Caldweood, Cheltenham's John Ward and Swansea's Roberto Martinez were also shortlisted for the award.