Self-adjustable continuously variable power transmission hydrostatic system equipped with a real time variable displacement pump, placed between an engine and a variable external load, a system which is applicable to industry, drilling, marine engineering, robotics or electrical power generation, whereby the hydrostatic system comprises one or more hydraulic engines interconnected with a piston pump or an alternative one getting its power input through shaft of rotor via hydraulic power ducts that, on one hand connects the pump oulets with the hydraulic motor intake (30 or 30a), thus turning rotor containing radially sliding vanes, and on the other hand of the duct which connects the outlet of the hydraulic, piston or vane equipped, engine with the pump inlets, or via the coupling of a number of pumps with the engine or engines being in line or in parallel by using the hydraulic engine's shaft as power output, or shafts, depending on the transportation system application, whereas for the conversion of the mechanical into electrical energy, such as the power generation from renewable energy sources, then it also contains a planetary mechanism of two inputs - one output (39a-42a; 40-6b), whereby each pump of the hydrostatic system uses one of the following shaft subsystems (A1, A2, A3), each one of which has a shaft passing through a swinging disk which has cylindrical radially arranged buttons used to couple the rods, with circumferentially located cylinders on dividable shell (1a-1b) by using ball bearings located into carriers in reference with the pump supports, or with a shell (1c-1d) having a swinging case (D.1), with spherical buttons and rods (19.1-17.1) which are in reference with the pump, whereby, due to the linear characteristics of those hydraulic pumps containing all of the above mentioned parts, under the influence of eccentrically placed centrifugal masses on to heads which are part of and balanced with the shaft through a screw (b) with the use of a wedge or the independently rotating from the shaft weights (W1 or W2), including their heads (12a or 12b) being interconnected with a couple of rotors (A6-B6; A6.1-B6.1; A6.2-B6.2) thus enabling shaft to vary its position, hence generating a self-adjustable continuously variable system for power transfer, through the use of a linearly variable displacement pump, that, depending upon the field of application, functions independently of a hydraulic engine, such a system suitable to be used in automotive industry, incorporating a differential mechanism capable of energy recycling through a hybrid connection, the system comprising a planetary mechanism with two inputs and one output, i.e., a mechanism comprising an input shaft which passes through a single clutch, planetary gears, satellite gears, a drum being controlled by a single clutch, a bevel gear securely fixed on the drum which is connected with gear via a shaft, as well as planetary gear which is embodied with the input shaft of each pump, as the case may be, and by the fact that the power shaft of hydraulic engine through the use of the single clutch, is able to turn the final power shaft; whereby the movable parts of a couple of electronic sensors and are circumferentially located on said power shafts (27b, 27c) with their stationary parts facing opposite one another, whereas through a processor the generator armament is activated, while the backward motion of the vehicle is accomplished by the movement of the toothed coupling gear from a position "A" to a position "B" via a fork, or by using an electromagnet to engage power shafts (27c, 27d) with the wheel and by hydraulic flow reversal towards the hydraulic engine, whereby, with regards to power transmission system which, devoid of a differential, it is capable of handling different rotational speeds between the vehicle driving wheels (27R-27L), and that each hydraulic engine has a through power shaft which by the use of a single clutch transfers its power to the shaft going through that shaft and constitutes the driving shaft of each coupled wheel and the generator for the conversion of kinetic energy into electrical energy, similarly as with the wheel, whereby, for electrical power generation the hybridically coupled power inputs (M1, M2) via the above mentioned Continuously Variable Transmission's (C.V.T.) inputs (39a-42a), the stabilization of the generator's rotational speed is accomplished by using electronically coupled tachometers (E1, E2), which, one the one hand record the rotational speed of the hydraulic engine's shaft, and on the other, the rotational speed of the pump's input shaft and that the generator's electromotive force is regulated by the use of the processor; whereby, in order to regulate the mechanical parameters of the generator, a duct is used having a cylinder with a piston ending at a rod (Jm) having a compression spring.