Dickinson Bayou is a bayou in Texas.Dickinson Bayou is located in southeast Texas in the San Jacinto-Brazos Coastal Basin. Dickinson Bayou rises two miles northeast of Alvin in northwestern Galveston County (at 29°29' N, 95°14' W) and flows east for over 20 miles to its mouth on Dickinson Bay and Galveston Bay, just south of San Leon and a mile east of the Southern Pacific Railroad (at 29°28' N, 94°57' W).