How did Times Square get its name? Because the original NY Times Newspaper building was located there on 43rd street. Check out both the old and the new for a glimpse into ever-changing nyc.The NEW NY Times Building is a very modern-looking building found nearby on 8th avenue. It's worth checking out for its unusual design although you can only tour the lobby and the lobby's art exhibition space. This new building is tied for 3rd tallest building in NYC along with the Chrysler Building.