This paper introduces the definitions of density function and moment of multiplicity distributions,and extends the moment analysis method in e +e and pp interactions into the nucleus nucleus interactions.It also analyses the data for relativistic nucleus nucleus collisions from EMU01 experiment,calculates the ratio H q of factorial cumulant and factorial moment for charged particle multiplicity distributions,by which it studies systematically the dependences of H q on incident energy,mass of projectile and target,pseudorapidity interval...