Tilted Bianchi type I cosmological model in the presence of magnetic field and barotropic fluid is investigated. To determine complete solution, we have assumed that the condition p  , where p being isotropic pressure,  the matter density and also assumed that the relation between metric potential as A=BC. Here, we have seen that Maxwell’s equations F [ij;k] = 0 is satisfied by F 23 = constant. The physical and geometrical aspects of the model in the presence and absence of magnetic field together with singularity in the model are also discussed.