Within the Scale-Symmetric Theory we calculated the running coupling for the nuclear strong interactions applying three different methods. They lead to very close theoretical results. At very high energy there appears asymptote for 0.1139. When we add to the strong running coupling calculated within the Scale-Symmetric Theory the correction that follows from the weak interactions associated with the parton-shower production then we obtain theoretical results consistent with experimental data for the “strong” interactions. The Scale-Symmetric Theory shows that the origin of the strong running coupling results from the law of conservation of spin - this law forces that with increasing energy of collision of baryons, absolute mass of the virtual pions which are responsible for the strong interactions decreases. On the other hand, the asymptotic freedom described within the QCD is consistent with experimental data only because of free parameters.