  This paper extends the research on the self-consistent effective-one-body
theory of a real spinless two-body system based on the post-Minkowskian
approximation (Science China, 65, 100411, (2022)) to the case of a binary
system for the spinning black holes. An effective rotating metric and an
improved Hamiltonian for the spinning black hole binaries were constructed. The
decoupled equation for the null tetrad component of the gravitational perturbed
Weyl tensor $\psi^B_{4}$ in the effective rotating spacetime is found with the
help of the gauge transform characteristics of the Weyl tensors. The decoupled
equation is then separated between radial and angular variables in the slowly
rotating background spacetime, and a formal solution of $\psi^B_{4}$ is
obtained. On this basis, the formal expressions of the radiation reaction force
and the waveform for the ``plus'' and ``cross'' modes of the gravitational wave
are presented. These results, obtained in the same effective spacetime,
constitute a self-consistent effective-one-body theory for the spinning black
hole binaries based on the post-Minkowskian approximation.
