„Researches of part joints“ Process of peg and hole connection for automatic assembly is analyzed in the work. Mathematical model of the parts connection was formed. Programs for simulation of the connection process were written using MatLab software. Characteristics of connecting forces variation and movement of the peg were determined. Parameters influencing lower loading of the assembly equipment and values of these parameters were determined. It was determined that probability of the connection process can be increased by selecting particular values of correspondent parameters of the connection process. Results of the analysis can be used for designing of new, economic, high performance and reliable assembly equipment.