ZdzisĹ‚aw Pluta, Tadeusz Hryniewicz, Quantum Theory of Gravitation, ILCPA Volume 5, International Letters of Chemistry, Physics and Astronomy (Volume 5) https://www.scipress.com/ILCPA.5.35 Abstract: In the paper, the outline of a new quantum theory of gravitation is presented. The energetic states of a material body, stable and unstable, are described. Characteristics of a body motion in a gravitation-inertia space-time has been given. It has been proved that all the time both gravitation and inertia are co-existent, independent on the position of a moving object. This is the reason of that two-link name of the space-time. A thorough in-depth analysis of the problem made it possible to state that so called the law of common gravity is a hyperbolic approximation of a proper course of inertia force. Therefore the mentioned courses have only two common points. One of them, the initial point belongs also to the course line of the gravity force, constant on the whole length of space-time. This theory is adequate in character and thus generally does not corresponds with the existent classical theory of gravitation. Keywords: Gravitation, Potential, Potential Field, Principle of Energy Conservation, Space-Time