There is produced a parallel algorithm for symbolic solving sys-tems of partial dierential equations by means of multivariate Laplace-Carsontransform. There is considered a system of n equations with m as the greatestorder of partial derivatives and right hand parts of a special type. Initial andconditions are input. As a result of Laplace-Carson transform of the systemaccording to initial condition we obtain an algebraic system of equations. Amethod to obtain compatibility conditions is discussed.