  Bianchi type I magnetized cosmological models in the presence of a bulk
viscous fluid are investigated. The source of the magnetic field is due to an
electric current produced along x-axis. The distribution consists of an
electrically neutral viscous fluid with an infinite electrical conductivity.
The coefficient of bulk viscosity is assumed to be a power function of mass
density. The cosmological constant $\Lambda$ is found to be positive and is a
decreasing function of time which is supported by results from recent
supernovae observations. The behaviour of the models in presence and absence of
magnetic field are also discussed.
