In Stephenie Meyer’s Twilight, the vampire family living in Forks is the Cullen family.
The Cullens are a coven of vampires who choose to live without hunting humans. Carlisle Cullen, a doctor, leads the household, which includes Esme, Edward, Alice, Jasper, Rosalie, and Emmett at different points in the series. Bella Swan becomes interested in the family after moving to Forks, Washington, and meeting Edward at school.
The Cullens’ ethical choice is central to the world of Twilight because it separates them from vampires who treat humans as prey. The Volturi are a powerful governing group based in Volterra, Italy, while the Denali coven is another vampire family connected to the Cullens. Jacob Black belongs to the Quileute community and is not a Cullen. These groups are related to the story but are not the family living in Forks.