  We study theoretically the effect of ultraslow phase and group velocities in
an anisotropic metamaterial. The ultraslow phase propagation is induced by the
hyperbolic dispersion relation. While the inherent physics underlying the slow
group velocity are collective operations of the frequency and spatial
dispersion. We show that a Gaussian wave packet exhibits simultaneous slow
phase and group velocities which depend on the choice of incident angles and
principal axis angles. The anisotrocpic metamaterial slab can be constructed
and the ultraslow phase and group velocities can be measured experimentally.
