From memory alpha,
"The capitalized term First Contact, in Human context, was used to specifically refer to the first official publicly and globally known contact between Humans and extraterrestrials. The First Contact took place on the evening of April 5, 2063, when a Vulcan survey ship, the T'Plana-Hath, having detected the warp signature of the Phoenix, touched down in Bozeman, central Montana, where they met with the Phoenix's designer and pilot, Zefram Cochrane"