Sweden's Karl-Erik Nilsson, John Delaney of Ireland, Italian Michele Uva, Poland's Zbigniew Boniek, Reinhard Grindel of Germany and Turkey's Servet Yardimci were the newly elected members.
Michael van Praag of the Netherlands, who stood unsuccessfully as a candidate for the UEFA presidency last year, and England's David Gill were re-elected. Twelve people stood for election to the committee, which had eight of its 16 posts in play.
Three other Europeans were elected to serve on FIFA's council for four-year terms: Sandor Csyani of Hungary, Cypriot Costakis Koutsokoumnis and former AC Milan star forward Dejan Savicevic of Montenegro.
A fourth member will be elected at an extraordinary congress in September as Russian Vice-President Vitaly Mutko was barred from standing after failing a FIFA eligibility check that prevents those with political affiliations from sitting on the council.
Grindel was also elected to a two-year seat on the FIFA council to take the place of compatriot Wolfgang Niersbach, who is serving a one-year ban from football due to his implication in a corruption scandal linked to the attribution of the 2006 World Cup to Germany.