  Purpose of this work is study evolution of magnetized rotating filamentary
molecular cloud's. We will consider cylindrical symmetric filamentary molecular
clouds at the early stage of evolution. For the first time we consider rotation
of filamentary molecular in presence of an axial and azimuthal magnetic field
without any assumption of density and magnetic functions. We show that in
addition to decreasing of radial collapse velocity, the rotational velocity
also affected by magnetic field. Existence of rotation yields to fragment of
filament. Moreover, we show that the magnetic field have significant effect on
the fragmentation of filamentary molecular clouds.
