We consider the multidimensional Burgers equation with a viscosity erm and a random force modelled by a Gaussian or Poissonian smooth noise, {w(xt)}:We study the connection between this equation and the lowing two tochastic differential equationswhere, andWe prove that the latter equation has a unique non-negative minimalsolutionφ(xt), and using the Forsyth-Florin-Hopf-Cole transformation we get solutionsh(xt)u(xt) for the two equations above. We study some space-time and Lqestimate for these solutions