A magnetized cylindrically symmetric universe with two degrees of free
dom in which the free gravitational field is Petrov type I degenerate,
is obtained. The magnetic held is due to an electric current produced
along the x-axis. The distribution consists of an electrically neutra
l perfect fluid with an infinite electrical conductivity. The behaviou
r of the model when magnetic held tends to zero and other physical asp
ects of the model are also discussed.