  We study the effect of the neutron star spin -- kick velocity alignment
observed in young radio pulsars on the coalescence rate of binary neutron
stars. Two scenarios of the neutron star formation are considered: when the
kick is always present and when it is small or absent if a neutron star is
formed in a binary system due to electron-capture degenerate core collapse. The
effect is shown to be especially strong for large kick amplitudes and tight
alignments, reducing the expected galactic rate of binary neutron star
coalescences compared to calculations with randomly directed kicks. The
spin-kick correlation also leads to a much narrower NS spin-orbit misalignment.
