The 2011 AP Stylebook's “Statehouse” reference is a classic example (the phrase State House is not listed in the guide): “statehouse — Capitalize all references to a specific statehouse, with or without the name of the state [example]: The Vermont Statehouse is in Montpelier.

Is State House one word or two?

noun, plural state·hous·es [steyt-hou-ziz]. the building in which the legislature of a state sits; the capitol of a state.

Do you capitalize state House of Representatives?

The House of Representatives and the Senate are also capitalized. Examples of capitalizing the word include the U.S. Congress, Congress, etc.