Bremerton is a city in Kitsap County, Washington, USA. The population was 37,259 at the 2000 census. The current population is close to 45,000. Bremerton is home to Puget Sound Naval Shipyard and the Bremerton Annex of Naval Base Kitsap. Bremerton is connected to downtown Seattle by a 60-minute ferry ride, which carries both vehicles and walk-on passengers. Bremerton apartments for rent comparison page shows most up to date rent information on Bremerton apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.