The oscillations of a class of vector parabolic partial differential equations with continuous deviating arguments are considered. To change the multi-dimensional oscillation problems into the problems of which onedimensional functional differential inequalities have not eventually positive solution by employing the concept of H- oscillation introduced by Domslak and the method of reducing dimension with the inner product, some sufficient conditions for the H-oscillation of all the solutions to the equations are given under Robi...