Abstract <p> We discuss the problem of canonical quantization of electromagnetic field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the internal region of the black hole. We prove that there exists a unitary gauge, which can be viewed as a combination of the Coulomb and Poincaré gauges and which is compatible with the field equations. We study solutions corresponding to stationary one-particle states of the electromagnetic field and obtain canonical commutation relations and the Hamiltonian of the quantized electromagnetic field. </p>