Burney is an unincorporated town and census-designated place in Shasta County, California, United States. The population was 3,217 at the 2000 census. Burney is located on California State Highway 299, about 4 miles west of its junction with California State Highway 89. Burney apartments for rent comparison page shows most up to date rent information on Burney apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.