The angular distribution of the secondary neutron is typically represented as a truncated Legendre series expansion. Limited terms of the expansions may result in some non-physical negative regions for highly anisotropic scattering. The positive representation of the scattering angular distribution is produced by the maximum entropy method from the truncated Legendre series. The positive angular distributions are convert to multigroup nuclear data in ACE format available for MCNP. The reliability of the maximum entropy method for correcting the angular distribution is checked by the calculations of criticality benchmark experiment.