The new couple were caught locking lips during a sunny-day date in a seaside of Hyannisport, Massachusetts, reported Aceshowbiz.
Swift wore a black top with white dots, a polka dot bandanna, red boy shorts, brown ballet flats and shades while Conor looked more casual in a gray t-shirt and blue-and-white shorts.
Swift, 22, and Conor, 18, sparked dating rumours in late July when the lovebirds were seen getting cozy at his family's compound in the Cape.
Days later, she was spotted taking Conor to a lunch with her family at Pancake Pantry in Nashville.