Martha's Vineyard Transit Authority has a number of routes traversing West Tisbury. Several originate and can provide direct access from the Steamship Authority bus stop at Vineyard Haven. In addition, in West Tisbury, the parking lot on State Rd. which contains Cronig's Up-Island Market, the West Tisbury Post Office, and Fella's Take-Out acts as a secondary hub for busses further up-island to Chilmark and Aquinnah, as well as for trips cross-island to Edgartown going by the Martha's Vineyard Airport.
West Tisbury is an excellent spot for biking--many roads including State Rd. have bicycle paths.
