Olive Branch is a city in DeSoto County, Mississippi, United States. It is the ninth largest city in Mississippi. Olive Branch is a suburb of Memphis, Tennessee. The city is situated at the intersection of the U.S. Highway 78 freeway and Mississippi State Highway 302. The population was 21,054 at the 2000 census. Estimates now show a population exceeding 30,000. Along with other fast growing suburban cities 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. Olive Branch apartments for rent comparison page shows most up to date rent information on Olive Branch apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.