Zip Code 02180 - Stoneham, MA. 02180 is located in the state of Massachusetts in the Boston metro area. Zip code 02180 is primarily located in Middlesex County. The official postal service name used for 02180 is STONEHAM, Massachusetts. Portions of the 02180 zip code are contained within or border the city limits of Stoneham, MA, Woburn, MA, Melrose, MA, Winchester, MA, Wakefield, MA, Medford, MA, Reading, MA, and Malden, MA.