The Capitol of our country is the federal branch
The capitol building is the meeting place of the US Congress which is the legislative branch of the US government.
Referring to the Capitol Building in Washington, DC? That building houses the Congress of the United States. It is the law-making branch of the U.S. government. Typically, in states and commonwealths across America, a similar "capitol building" houses the law-making body of the state government.
Legislative
The legislative branch along with all the other branches of government meet at The Capitol Building! (All branches of government are: judicial, legislative, and consecutive.)
The Legislative Branch - both houses of Congress, the House of Representatives and the Senate. And BTW, it's the Capitol, not capital!
capitol building
The U.S. Capitol building features a grand staircase that includes 88 steps leading up to its main entrance. These steps are part of the iconic design of the Capitol, which is located on Capitol Hill in Washington, D.C. The staircase enhances the building's prominence and serves as a symbolic entryway to the seat of the legislative branch of the U.S. government.
Each branch of the U.S. government meets in distinct buildings: the Legislative Branch, comprising Congress, meets primarily in the Capitol Building in Washington, D.C. The Executive Branch, led by the President, conducts its operations from the White House. The Judicial Branch, which includes the Supreme Court, convenes in the Supreme Court Building, also located in Washington, D.C.
The legislative building is called the state capitol and may be called the State House.
capitol building
All of Congress
Usually it's where the State Legislature meet, and it may have some executive offices as well. In some states like Alabama and North Carolina, the governor's offices are in the Capitol building but the Legislature meets somewhere else. In other states like Arizona and Florida, the Capitol is a museum only and the government offices are in newer buildings.