Summary: An inverse problem on reconstruction of unknown locations of sources of disturbances acting on a hyperbolic system is considered. The problem is solved on the basis of approximate measurements of current phase states of the system. A solving algorithm is found in the class of constructive finite-step dynamical regularizing algorithms with Volterra property. In contrast to the well-known a posteriori algorithms for solving inverse problems, the proposed algorithm can work both after the termination of the process and in the real time mode. It can be used in feedback systems and in those for data processing.