Photos of the couple kissing and holding hands at the beach had gone viral on social media sites Saturday.
Swift, who ranks 11th on Forbes magazine's 2012 Celebrity 100 list with an estimated annual income of $57 million, and Kennedy have been seen throughout the summer on dates in Hyannis Port, Mass., where, according to multiple reports, the 22-year-old country star reportedly purchased a house across the street from Conor's grandmother, Ethel, for just under $5 million.
The two visited Nashville earlier this month where Swift introduced her 18-year-old beau to her parents.
The Kennedy family won't confirm whether love's brewing between the two -- Rory Kennedy has only said that Swift is a "great friend of all of ours."
Last month, the pair were seen eating in Westchester's Marcella's Pizza, a pizzeria in the center of Mount Kisco. Witnesses said Swift and Kennedy ordered a couple of slices of cheese pizza -- New York style, with an ultrathin crust.
In early July, Conor Kennedy, a scion of the storied yet tragic family, was named administrator of his mother's estate just days after he turned 18. On May 16, his mother hanged herself at the family's Bedford home. His parents, Robert Kennedy Jr. and Mary Richardson Kennedy, were locked in a bitter divorce and custody battle in the past year.
- With Chris Serico