  Precise measurements of neutron star (NS) velocities provide critical clues
to the supernova physics and evolution of binary systems. Based on Gaia Data
Release 2 (DR2), we selected a sample of 24 young (<3 Myr) pulsars with precise
parallax measurements and measured the velocity of their local standard of rest
(LSR) and the velocity dispersion among their respective local stellar groups.
The median velocity difference between thus calculated LSRs and the Galactic
rotation model is ~7.6km/s, small compared to the typical velocity dispersion
of ~27.5km/s. For pulsars off the Galactic plane, such differences grow
significantly to as large as ~40 km/s. More importantly, the velocity
dispersion of stars in the local group of low-velocity pulsars can be
comparable to their transverse velocities, suggesting that the intrinsic
velocities of NS progenitors should be taken into account when we consider
their natal kicks and binary evolution. We also examined the double NS systems
J0737- 3039A/B, and measured its transverse velocity to be 26(+18, -13) km/s
assuming nearby Gaia sources being representative of its birth environment.
This work demonstrated the feasibility and importance of using Gaia data to
study the velocity of individual systems and velocity distribution of NSs.
