prince-primate noun3 •(historical) An honorary title given to an especially prominent archbishop with certain secular prerogatives. •(historical) The archbishop of Esztergom in Hungary.These factors may have convinced Pope Pius XII to pass over other figures in the Hungarian Church and select Mindszenty in August 1945 to be cardinal at Esztergom and thus prince-primate of Hungary. — 2006 •(historical) The prince-primate of the Napoleonic Confederation of the Rhine, Karl von Dalberg. formsprince-primates · princes-primate