Motor proteins are mechanochemical enzymes that convert energy released by adenosinerntriphosphate (ATP) hydrolysis into either linear or rotary movement. Motor proteins:rnkinesin, myosin and dynein, that perform active movements along cytoskeletal lamentsrndrive the long=range transport of vesicles, organelles, and other types of cargo in biologicalrncells. In this Monte Carlo simulation study, based on the recent experimental results andrnexisting theoretical models, a lattice model to study the dynamics of non=interactingrnmotor proteins each transporting a cargo and a new bead=spring model to study therncollective dynamics of interacting motor proteins transporting cooperatively a commonrncargo are proposed and studied