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The book A GENERALIZATION OF NEWTONS DYNAMICAL THEORY OF GRAVITATION is made up of three chapters covering different aspects of the subject matter. In Chapter one, the Riemannian geometry was used to generalize Newtons Dynamical field equation to construct a generalized dynamical gravitational field equation. The generalized dynamical gravitational field equation was applied to static homogeneous spherical massive bodies to obtain generalized exterior and interior gravitational scalar potentials. In chapter two, the generalized dynamical gravitational scalar potential exterior to the body was substituted into the well-known Newtons dynamical equations of motion, the general dynamical equations of motion. The generalized equations of motion are applied to the motion of the planets in the solar system to obtain generalized planetary equations of motion. In chapter three, the generalized planetary equations of motion were applied to obtain the planetary parameters (eccentricity, amplitude, angular frequency, period, angular momentum and the perihelion and aphelion distances)