Still nowadays is not known: What is the gravity? Which is its speed?.   However, in the world, the great majority of the physicists follow the General Relativity, which explains the gravity like the effect of the curvature of the spacetime in the movement of free fall of the bodies. But, simultaneously they agree that gravity as gravitational waves is a quantum phenomenon, endowed with a transmitting particle, known as real graviton, whose origin is the energy of the oscillation of the spacetime. Thus the gravity appears like geometric and quantum phenomenon, that has not allowed unify General Relativity and Quantum Physics. This is the other great existing physical theory, from which has been derived, the Quantum Gravity theory, whose carrier is the virtual graviton.   This problem has two basic alternatives to solve it. One is the theory of "Everything" that is based on explaining the quantum character of the gravity from strings in spaces of 5 and more dimensions, where the particle is turned pure geometry, but in spite of the great efforts realized, it is not surpassed the low energies. The other alternative is to leave General Relativity in search of the unification of the gravity and other physical phenomenons in a quantum theory, but of material particles. This scenery is again explored, as soon as it was left by the pioneers of the quantum gravity.   The geometric-quantum duality of the gravity, of the General Relativity, also, has darkened so much the concept of speed of the gravity like the development of an suitable technology to measure it, that according to the relativity must be equal to c. This was the goal for the end of 2005, of the Laser Interferometry projects of LIGO, GEO, VIRGO, TAMA, LISA, etc.   In 2002, the ingenious experiment made for to measure the speed of the gravity, by the scientist Sergei Kopeikin is not accepted due to its controversial effectiveness.   In 1998, from Quantum Gravity, from the material particles, in a theoretical experiment, the prestigious scientist Tom Van Flandern calculates the speed of the gravity at least in 2 x 1010 times c, that is consistent with the thesis of the author, formulated within an analogous scenery, in 1969, about the superluminal speed of the gravity.   In this paper the author presents the controversy on the speed of the gravity between General Relativity and the Quantum Theory of the Gravity and exposes the foundations of his thesis.