This paper describes the calculation and design of the hydraulic friction clutch which is used in many engineering spheres and many machine systems. In the first chapter are described the most common types of clutches, while in the second chapter is described the hydraulic friction clutct with detail description of the clutch parts and description of functioning system of the clutch. In the next chapter, a detailed calculation for two different constructional clutch designs has been made. The first clutch design is constructed with the spring which is used to return the piston to the initial position that is located at the position below the coupling plates. In the other constructional design are chosen the smaller dimensions of the coupling plates and the hub is designed in with the clutch springs positioned parallel to the plates. The idea of the design was to create a simple construction of a hydraulic friction clutch that will be dependable, functional and safe to use at the same time. Engineering programs Catia V5R20 and AutoCAD 2012 were used for designing this hydraulic friction clutch. This work includes also all drawings with all clutch parts with following instructions for clutch production.