Pile driving is a mechanical procedure used to drive piles into the ground to provide foundation support for buildings or other heavy structures. The driving involves a mass system that is placed between the guides so that it can slide up and down creating a blow that achieves the displacement of the pile into the deeper layer of soil. Such a system is placed above the piles. Lifting is done with different types of hammers, and some of them are hydraulic, diesel or impact hammer, and vibratory hammer. Reaching the highest point of the hammer leads to its release, and it is driven into the top of the pile and thus the pile is driven into the ground. The resulting driving force creates different stresses. The analysis of such stresses is very complex and many analytical methods have been developed to analyze the dynamic pile installation procedure. The forces acting on the pilot are disassembled into longitudinal and transverse components, and each is processed separately. Pile driving formulas that link pilot and static load are often used in assessing whether a pilot will have sufficient payload. However, existing formulas do not take into account soil type or pile type and generally do not reliably predict bearing capacity. The paper will describe the reliability of wave equation analysis, the differential equations that describe the system. Also the reader is referred to the term for soil engineering properties, which includes shear strength, consolidation, experiments and soil mechanics. The types of piles and devices for their installation are also listed. Numerical methods for solving differential equations describe the way of solving the problem in more detail. An example of a calculation gives visibility in selecting acceptable types of nailers based on this analysis.