Lamb waves, as one of the types of guided waves, are extensively used for inspecting of large structures as well as for structure health monitoring applications. One of the biggest benefits of guided waves is their ability to travel over long distances without much attenuation. Lamb wave, as one of the type of guided waves, are often used for inspection of piping systems and similar geometries where the dimension in the third direction is significantly smaller than the other two. No wonder, that the study of the interaction of Lamb waves with particular types of geometric discontinuities is a frequent topic of research. The main aim of proposed paper is to present the detailed findings related to the numerical study of interaction between low-order Lamb wave modes and surface breaking cracks of various parameters.