The paper is focused on the dynamic behavior of a thin circular plate clamped all around with damage by using global analysis methods, by changing the natural frequencies at different modes of vibration. It is presented the analytical solution for mode shape and natural frequencies and the results obtained from the numerical modal analysis by the finite element method. The damage is defined by its position relative to the center of the circular plate, the length of the damage through the angular opening and the depth of the damage in the thickness of the plate. With these values of natural frequencies, using artificial intelligence (AI), and the MATLAB software, the database is used to train a machine learning model that predicts the radius of the damage in the first step and the probable angular opening of the damage for the second step. The proposed artificial intelligence method for locating damage in circular plates using natural frequencies can be used for monitoring, identifying and locating damage.