Summary: Bianchi type I non-static barotropic perfect fluid cosmological model in presence of magnetic field, is investigated. The magnetic field is due to an electric current produced along \(x\)-axis. To get a determinate model, we have also used a supplementary condition \(\frac{B_{44}}{B}+ \frac{C_{44}}{C}=0\), where \(B\) and \(C\) are metric potentials. The behaviour of the model in presence of magnetic field is investigated. The physical and geometrical aspects of the model are also discussed.