We theoretically study the magnetic relaxation in a thin anisotropic superconducting strip placed in an external magnetic field ${H}_{a}$ perpendicular to its plane. Both the critical current density ${j}_{c}$ and the effective depth of the pinning wells, ${U}_{0}$, are assumed to depend on the angle $\ensuremath{\theta}$ between the local direction of the magnetic induction in the strip and the normal to the strip plane. Exact expressions for the magnetic relaxation are found for a simple model describing the anisotropy of layered superconductors. It is shown that the ${H}_{a}$ dependence of the magnetic relaxation rate in the anisotropic case qualitatively differs from the appropriate dependence in the isotropic strip.