  The problem of the relative motion of the substructures of the Local Group of
galaxies revealed via S-tree method, as well as of the velocity of the Local
Group itself, is considered. The existence of statistically significant bulk
flow of the Milky Way subsystem is shown via 3D reconstruction procedure, which
uses the information on the radial velocities of the galaxies, but not on their
distances. Once the bulk motion of substructures is estimated, in combination
with the observed CMB dipole we also consider the mean velocity of the Local
Group itself. Assigning the Local Group the mean motion of its main
substructures we evaluate its peculiar velocity in Milky Way frame V(LG->MW)=
(-7 \pm 303,-15 \pm 155 ,+177 \pm 144) or 178 km/s toward galactic coordinates
l=245 and b=+85. Combined with CMB dipole V(MW->CMB), we obtain Local Group
velocity in CMB frame: V(LG->CMB) = (-41\pm 303,-497\pm 155,445 \pm 144) or 668
km/s towards l=265 and b=42. This estimation is in good agreement, within 1
sigma level, with the estimation of Yahil et al (1977).
