SR 337 begins at U.S. Route 58 Business west of downtown Suffolk and ends at the north end of Interstate 564 at Naval Station Norfolk. , revised July 1, 2003 It uses a number of different streets to get there. Through downtown Suffolk, SR 337 is Washington Street. This becomes Nansemond Parkway after crossing US 58 Bus. at Magnolia, and becomes Portsmouth Boulevard as it enters Chesapeake. The name remains after it enters Portsmouth via the Hodges Ferry Bridge, including a short concurrency with US 460 Alt. between US 58 and I-264, until the Elm Avenue intersection. There SR 337 turns south on Elm Avenue, which turns east to reach the Jordan Bridge. At the Jordan Bridge, SR 337 again enters Chesapeake, heading east on Poindexter Street across I-464 and north on Bainbridge Boulevard. (US 460 and SR 166 use the other two legs of the Poindexter-Bainbridge intersection.)
