  We present high resolution numerical simulations of compressible
magnetohydrodynamic (MHD) turbulence. We concentrate on studies of spectra and
anisotropy of velocity and density. We describe a technique of separating
different magnetohydrodynamic (MHD) modes (slow, fast and Alfven) and apply it
to our simulations. For the mildly supersonic case, velocity and density show
anisotropy. However, for the highly supersonic case, we observe steepening of
the slow mode velocity spectrum and isotropization of density. Our present
studies show that the spectrum of density gets substantially
  {\it flatter} than the Kolmogorov one.

Astrophysics