Accurate prediction of rockfalls is practically impossible. Variability in slope geometry, poorly defined initial conditions, uncertain material properties (especially coefficients of restitution) and an analysis method that is sensitive to minor changes in these parameters are contributing factors that make accurate prediction extremely difficult. Performing probabilistic simulation and statistical analyses has proven to be an effective and acceptable method for overcoming these difficulties and thereby enabling the production of rational engineering designs. The computer program RocFall is a tool to assist engineers with probabilistic simulation of rockfalls and the design of remedial measures. This thesis details the difficulties with rockfall analyses and explains how RocFall can be used to overcome these difficulties. This thesis presents the equations and the algorithm used by the program to simulate the rockfalls. Essential to the use of a computer program in engineering practice, this thesis also presents a thorough verification of the program’s output.