In this paper, we study the Bianchi type-I cosmological model in a different basic form incorporating with null radiation flow with the perfect fluid in the presence as well as absence of a source free magnetic field. A set of new exact solutions of Einstein field equations are obtained in both the cases. We observe that the emergent universe model with null radiation flow approaches to de-sitter universe at late time obeying the same rate of expansion in presence and absence of the magnetic field.