The topic of this thesis is analysis of the properties of SMA asphalt mixture with the addition of rubber. Rubber as an additive to asphalt is actually a modification of bitumen instead of the previous polymer fibers. The aim of the research is to prove and compare the basic physical and mechanical properties of SMA asphalt with the addition of rubber in relation to the classical mixture of SMA asphalt. In the laboratory research a mixture for SMA asphalt was determined and the proportion and type of bitumen was changing; penetration grade bitumen and polymer modified bitumen in order to select a mixture that meets the physical properties specified by the norm. Mixtures that met the requirements prescribed by the standard were re-made, three samples from each in order to determine the mechanical properties; the Marshall test and the indirect tensile strength of the samples treated at 25 °C and 5 °C. The samples of SMA asphalt with the addition of rubber were made of different proportions of penetration grade bitumen and rubber in a proportion of 1% of the total mass of the sample. The rubber was added to the asphalt mixture with so-called wet procedure. The samples were then tested for physical properties, and those samples that met the regulations were re-made in three samples and their mechanical properties were tested as in the classic SMA asphalt mixture. It was concluded that the samples of the classic SMA mixture by increasing the bitumen content, the deformation decreases and they can withstand a higher maximum load, and in relation to penetration grade bitumen, polymer modified bitumen gives better properties. Samples treated at 5 °C have approximately three times higher tensile strength than samples treated at 25 °C, and at a temperature of 25 °C, with increasing bitumen tensile strength increases, and at a temperature of 5 °C decreases. The samples with the addition of rubber showed completely opposite properties from the samples of the classical mixture. It was concluded that the basic properties of rubber modified bitumen should be examined in order to be able to design an optimal mixture that would meet all regulations. Certainly, waste rubber in relation to fibers is cost-effective in terms of economy, environmental protection, but also gives better mechanical properties that have not been tested by this work, but have been proven by the experiences of other countries.