The dispersion measure distribution in Galactic longitude for remote p
ulsars clearly traces the spiral structure of the Galaxy for l between
300 degrees and 10 degrees. The dependence of smearing of the spiral
pattern on the characteristic lifetime of the pulsars is analyzed, and
the pulsar velocities estimated. The mean spatial velocities of the p
ulsars indicated by these data do not exceed 250 km/s. The deviation o
f the positions of neutron stars (that are not radio pulsars) from the
centers of the supernova remnants with which they are associated sugg
ests that their mean velocities are less than 250 km/s. This value is
high enough to indicate that supernova explosions are asymmetric, prov
ided the birthrate of pulsars is close to the supernova rate. The stat
istics of high-mass X-ray binaries also testify to the asymmetry of su
pernova explosions.