  We have performed population synthesis calculation on the formation of
binaries containing a black hole (BH) and a neutron star (NS) in the Galactic
disk. Some of important input parameters, especially for the treatment of
common envelope evolution, are updated in the calculation. We have discussed
the uncertainties from the star formation rate of the Galaxy and the velocity
distribution of NS kicks on the birthrate ($ \sim 0.6-13 \rm\, Myr^{-1}$) of
BH/NS binaries. From incident BH/NS binaries, by modelling the orbital
evolution duo to gravitational wave radiation and the NS evolution as radio
pulsars, we obtain the distributions of the observable parameters such as the
orbital period, eccentricity and pulse period of the BH/pulsar binaries. We
estimate that there may be $\sim 3-80 $ BH/pulsar binaries in the Galactic disk
and around 10\% of them could be detected by the Five-hundred-meter Aperture
Spherical radio Telescope.
