Abstract: In the report, the pointwise estimates of the solutions for the viscous Cahn-Hilliard equation with inertial term in high-dimensional space were studied. At first, the detailed analysis of the Green’s function, spectrum decomposition and other tools were performed; secondly, the fixed point principle was used to obtain the existence of the classical solution; lastly, on which the decay estimates of solutions for the equation at any time and at any point in space were obtained.