  A new supersymmetric grand unified model based on the gauge group
$SU(5)\times SU(5)$ is discussed. The model has the feature that the
conventional seesaw mechanism for neutrino masses is implemented using the
$(15, 1)+(1,\bar{15)}$ representation. This multiplet may have a better chance
of arising from level two compactification of superstring theories than the the
${bf \bar{126}}$ representation used in the SO(10) model. The model also
naturally suppresses all R-parity violating interactions.
