High Quality Content by WIKIPEDIA articles! Grafton is a town in Worcester County, Massachusetts, United States. The population was 17,765 at the 2010 census. Grafton is the home of a Nipmuc village known as Hassanamisco Reservation, the Willard House and Clock Museum, and the Tufts University Cummings School of Veterinary Medicine. Grafton is right next to North Grafton and South Grafton.