The intruders entered the field at the Luzhniki Stadium in Moscow, causing a brief stoppage in the game between France and Croatia in the 52nd minute.
The quartet were allowed to high-five members of the French team before being accosted and unceremoniously dragged off the playing surface.
Russian protest group Pussy Riot quickly claimed responsibility in a tweet which read: "Right now, there are four members of the band in the World Cup final."
