Two tilted cosmological models filled with disordered radiation of perfect fluid and heat conduction in presence of a bulk viscous fluid and magnetic field are investigated. To get determinate solution, it has been assumed that the universe is filled with disordered radiation together with A = (BC)ⁿ, where A, B, C are metric potentials and n is constant. The coefficient of bulk viscosity is assumed to be power function of mass density. It has been shown that tilted nature of the model is preserved due to magnetic field. The various physical and geometrical aspects of the models are discussed. The nature of the models in presence and absence of magnetic field and bulk viscosity are also discussed.