  We consider the plasmon polaritons along a layer of hyperbolic metamaterial
propagating in the plane of the anisotropy axis with an arbitrary its
orientation. As a layer material, we use periodic plane-layered artificial
medium or hyperbolic metamaterial of thin metal and dielectric layers and
produce its homogenization. The conditions for the existence of fast, slow,
leakage, gliding flowing, forward and backward plasmon-polaritons are found.
The Fresnel formulas for the diffraction of a plane wave of arbitrary
polarization on such a structure are obtained. The dispersion of
plasmon-polaritons and plane wave diffraction are calculated.
