  A recently introduced scheme for the renormalization of the
Hartree-Fock-Bogoliubov equations in the case of zero-range pairing interaction
is extended to the relativistic Hartree-Bogoliubov model. A density-dependent
strength parameter of the zero-range pairing is adjusted in such a way that the
renormalization procedure reproduces the empirical $^1S_0$ pairing gap in
isospin-symmetric nuclear matter. The model is applied to the calculation of
ground-state pairing properties of finite spherical nuclei.
