Olive Branch is a city in DeSoto County, Mississippi, United States. The population was 33,484 at the 2010 census, up from 21,054 in 2000. Olive Branch is a suburb of Memphis, Tennessee, and is part of the Memphis Metropolitan Statistical Area, a region that consists of three counties in southwest Tennessee, five counties in northwest Mississippi, and two counties in eastern Arkansas. From 1990 to 2010 Olive Branch was the fastest growing city in the United States, with a growth rate of 838%. Along with other rapidly growing suburbs in DeSoto County, Olive Branch attributes most of its growth and development to the exodus of large numbers of middle-class families from central Memphis.