  The energy levels of the fermions bound to the vortex core are considered for
the general case of chiral superconductors. There are two classes of chiral
superconductivity: in the superconducting state of class I the axisymmetric
singly quantized vortex has the same energy spectrum of bound states as in
s-wave superconductor: E=(n+1/2)\omega_0 with integral n. In the class II the
corresponding spectrum is E=n\omega_0 and thus contains the state with exactly
zero energy. The effect of a single impurity on the spectrum of bound state is
also considered. For the class I the spectrum acquires the double period \Delta
E=2\omega_0 and consists of two equidistant sets of levels in accordance with
A.I. Larkin and Yu.N. Ovchinnikov, Phys. Rev. B57 (1998) 5457. The spectrum is
not influenced by a single impurity if the same approximation is applied for
vortices in the class II superconducting states.
