Beech Bluff is an unincorporated community in Madison County, Tennessee, United States. The area ZIP code is 38313.Beech Bluff is built on deposits of loess which have developed brown or grayish brown silt loam soils. These are mapped as Grenada, Memphis or Lexington series where drainage is good, and Calloway in somewhat poorly drained areas.A post office was established at Beech Bluff in 1852. The community was named for a grove of beech trees near a bluff.