Clarence is a town and affluent suburb located in the northeastern part of Erie County, New York, United States, northeast of Buffalo. The population was 32,950 according to the 2020 census estimate. This represents an increase of 7.4% from the 2010 census figure. The Clarence census-designated place occupies the southeast part of the town and roughl…Clarence is a town and affluent suburb located in the northeastern part of Erie County, New York, United States, northeast of Buffalo. The population was 32,950 according to the 2020 census estimate. This represents an increase of 7.4% from the 2010 census figure. The Clarence census-designated place occupies the southeast part of the town and roughly corresponds to a postal district with ZIP code 14031 and 14221 in the western side which it shares with nearby Williamsville. The town is named in honor of Prince William, Duke of Clarence and St Andrews, the third son of King George III and later king himself, as William IV.