In the thesis there is a short summary about concrete gravity dams, earthquakes and the damage they caused on concrete dams around the world. Later on, a computer program RSDAM, that is designed to evaluate the transient response of a cracked section, is presented. This program is then also used to perform a dynamic analysis of a cracked dam, subjected to base accelerations from L'Aquilla earthquake, occurred in 2009 in Italy. The analysis is made for different crack locations and compared with the results of the similar analysis made with computer program CADAM. Geometry used in the analysis is the same as the geometry of
the Moste dam, located on river Sava in Slovenia.