  We study the spin nutation effects of the molecular nanomagnet on the
Josephson current through a superconductor$|$molecular
nanomagnet$|$superconductor tunnel junction. We explicitly demonstrate that due
to the spin nutation of the molecular nanomagnet two oscillatory terms emerge
in the $ac$ Josephson current in addition to the conventional $ac$ Josephson
current. Some resonances occur in the junction due to the interactions of the
transported quasiparticles with the bias voltage and molecular nanomagnet spin
dynamics. The appearance of them indicate that the energy exchanged during
these interactions is in the range of the superconducting energy gap. We also
show that the spin nutation is able to convert the $ac$ Josephson current to a
$dc$ one which is interesting for applications.
