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In transforming from Schwarzschild to Euclidean Rindler coordinates theSchwarzschild time transforms to a periodic angle. As is well-known, thisallows one to introduce the Hawking temperature and is an origin of black holethermodynamics. On the other hand, according to quantum mechanics this angle isconjugate to the $z$ component of the angular momentum. From the commutationrelation and quantization condition for the angular momentum component it isfound that the area of the horizon of a Schwarzschild black hole is quantizedwith the quantum $\Delta A = 8\pi l_P^{2}$. It is shown that this conclusion isalso valid for a generic Kerr-Newman black hole.

Quantization of the black hole area as quantization of the angular momentum component