The proposed method is intended for rhythmic stimulation of neurotrophic reflexes to simultaneous stretching of muscles in various sections of spine, joints of limbs and in the main muscles of a human body. The aforesaid method can be implemented by employing an exercise machine that provides for mechanical anti-phase oscillations of lodgments affecting various sections of the body and limbs without considerable movements of the neck-and-head lodgment in the vertical direction. The upper body and the lower limbs make in-phase reciprocal movements, while the pelvic area makes movements anti-phase relative thereto. A support for the neck-and-head part is installed to allow supporting natural movements of the head in the course of the aforesaid movements of the upper body. The design of the exercise machine is described in detail herein.