Silver Springs, Nevada. Not to be confused with Silver Springs (disambiguation). Silver Springs is a census-designated place (CDP) in Lyon County, Nevada, United States at the intersection of U.S. 50 (California Trail) and U.S. 95A. The population was 5,296 at the 2010 census. Lahontan Reservoir, Lahontan State Recreation Area and historic Fort Churchill State Historic Park are all located nearby.