  We study the gravitomagnetism in the Scalar-Vector-Tensor theory or Moffat's
Modified theory of Gravity(MOG). We compute the gravitomagnetic field that a
slow-moving mass distribution produces in its Newtonian regime. We report that
the consistency between the MOG gravitomagnetic field and that predicted by the
Einstein's gravitional theory and measured by Gravity Probe B, LAGEOS and
LAGEOS 2, and with a number of GRACE and Laser Lunar ranging measurements
requires $|\alpha| < 0.0013$. We provide a discussion.
