A floating connector and an assembly thereof are provided. The floating connector includes: a center conductive structure which includes a main body, a contact pin which is movably mounted in a front portion of the main body and a center spring which is mounted between the contact pin and the main body, a rear portion of the main body is provided with a mating cavity, an elastic mating portion is provided in the mating cavity and is capable of elastically deforming in a radial direction which is perpendicular to a front-rear direction; an insulative body which surrounds an outer circumference of the center conductive structure; and an outer conductive structure comprising a first conductive shell which is provided to an outer circumference of the insulative body, a second conductive shell which is movable, and an outer spring which is positioned between the first conductive shell and the second conductive shell, at least one of the first conductive shell and the second conductive shell is provided with an elastic contact arm, and the first conductive shell and the second conductive shell maintain electrical contact via the elastic contact arm. The present disclosure can promote stability of electrical contact.