The aim of the thesis is to widen the current knowledge of the front suspension on mountain bikes also known as MTB, as well as perform a computer simulation of MTB fork.The thesis is divided into two main chapters. The first chapter covers a Damping on a bicycle via a frame, then outlines the damping on the bicycle via an elasticity of the tires. Nextly this chapter describes unconvetional items used for the damping on the bicycle, and furthermore is chapter focuses on the damping with suspension elements, such as forks or rear shocks. The second chapter is all about simulation and data sets used for the simulation as well as perfoming the simulation it’s self.Overall this master’s thesis revealed the basics of the bicycle suspensions and focused in depth on MTB forks. It also touched slightly on the subject matter of the rear shocks. In the matter of mountain bike forks, the thesis explained to a detail each part of a fork assembly. Furthermore, the master’s thesis compared the pros and cons of the air and the spring forks.Thanks to a large overview and comparison of each type of the forks and shock absorbers, the master's thesis is a useful tool for any designer of suspension elements on an MTB bike.The simulation revealed that thanks suitable data sets used for the simulation, reasonable outcomes were obtained. All in all, the simulation was a powerful and cheap tool to gain necessary information without a real test.