what county is burien
Sponsored Topics. Burien ( /bjÊÉriÉn/ bewr-ee-Én)[citation needed] is a city in King County, Washington, United States, located south of Seattle. As of the 2010 Census, Burien's population is 33,313, which is a 2.9% increase since incorporation. Annexation in 2011 has increased the cities population to about 45,000.