Grady is an unincorporated community in Montgomery County Alabama, United States. Grady is located about 25 miles south of Montgomery. It is at the intersection of Montgomery County Road 28 and Mountgomery County Road 1. The CSX railroad runs north and south through Grady. Near Grady on the Fannin Mill Rd. is the Cosmos Broadcasting Tower for WSFA Channel 12. South Montgomery County Academy, a private K-12 school is located in Grady.A US Postal Office is in Grady. Its ZIP code is 36036. There are two rural mail routes originating from this office that serve areas within a 20-mile radius of Grady. In the mid-1880s there was a place known as Tucker's Crossroads in the southern part of Montgomery County, Alabama. Wanting an official name for the community, the people suggested to the postal service that it be named "Bell Station" or Tucker's Crossroads. Mr. G. T.