  A marginally excited cosmic kinematic dynamo is found in the background of a
non-singular anisotropic Kasner cosmological metric solution of Einstein field
equation of general relativity. The magnetic field is not amplified but is
frozen inside the universe. Since a finite resistivity is assumed, a
nonsingular flow velocity is orthogonal to the magnetic field plane. The model
presents an inflationary phase. Magnetic field components are stretched along
the orthogonal planar directions while the flow is orthogonal to this magnetic
sheet. The self-induction magnetohydrodynamic field equation in Kasner universe
may be written in the form of a polynomial in the time coordinate which yields
a periodic flow.
