SR 303 crosses the Port Washington Narrows on the Warren Avenue Bridge in Bremerton and becomes a grade-separated freeway bypass of Silverdale.

[3] In East Bremerton, the roadway becomes Wheaton Way and continues north through suburban areas and intersects Sheridan Road, a spur route of SR 303 prior to 1991.

[10][11] The original route of SR 303, connecting Bremerton to Brownsville and Keyport first appeared on maps in 1933 as a gravel road.

[13][14] A toll bridge across the Port Washington Narrows carrying Warren Avenue and SSH 21B was completed by the state government in November 1958.

[2][22][23] No major revisions to SR 303 have been made since 1991,[24] however the Manette Bridge is still maintained by the Washington State Department of Transportation and was rebuilt in November 2011.