Tokyo Metropolitan Government
Refers to the administrative headquarters of the Tokyo Metropolis. Often used in news and official contexts.
東京都庁は新宿区にある。
The Tokyo Metropolitan Government office is in Shinjuku Ward.
東京都庁 is the full official name, while 都庁 is the common everyday abbreviation for the same institution or building.
Compound of 東京 (Tokyo) + 都 (metropolis) + 庁 (government office).