The story
The Central Bureau was founded by Astronomische Gesellschaft in 1882 at Kiel, Germany. During World War I it was moved to the Østervold Observatory at Copenhagen, Denmark, to be operated there by the Copenhagen University Observatory.
In 1922, the IAU made the Central Bureau its official Bureau Central des Télégrammes Astronomiques (French for Central Bureau for Astronomical Telegrams), and it remained in Copenhagen until 1965, when it moved to the Harvard College Observatory, to be operated there by the Smithsonian Astrophysical Observatory on the Harvard University campus. In 2010, the CBAT moved from SAO to the Department of Earth and Planetary Sciences at Harvard University.
It has remained in Cambridge, Massachusetts to this day. The HCO had maintained a western-hemisphere Central Bureau from 1883 until the IAU's CBAT moved there at the end of 1964, so logically the HCO staff took over the IAU's Bureau.
From Wikipedia’s article on Central Bureau for Astronomical Telegrams, shared under CC BY-SA 4.0.3