The New York City building associated with the ball drop and formerly used as The New York Times headquarters is One Times Square.
The building opened in 1904 as the headquarters of the New York Times, whose move helped give the surrounding area the name Times Square. The newspaper later relocated, but the tower remained a landmark at the south end of the square.
The first New Year's Eve ball was lowered from the building in 1907. That event helped establish the annual public ceremony, which continued even after the newspaper had left the property. The building's prominent signboards and central location make it one of the most recognizable structures in the celebration.
One Times Square has also been known by earlier names, including the Times Building. That history can cause confusion, but the current official name is One Times Square, not the broader place name Times Square.