A grandnephew of late Luchese “goodfella” Paul Vario lost his legal fight after claiming he had been barred from joining a union because of his Italian-American heritage.

Thomas Vario had sued Local 14-14B of the International Union of Operating Engineers, saying he was denied membership because of an “Italian criminal connection.” The union runs skyscraper cranes.

Brooklyn federal Judge Sterling Johnson Jr. ruled that the union’s court-appointed mob-connection watchdog had acted properly.