Mechanical vibration dampers (MVD) can be used for reduction of tower type structures vibrations. A method of determination of optimum parameters of MVD mating with this type of structures was described in . The worked out computational method became the basis for design solutions. Talcing in the consideration the type of the structure (tower), the analysis concerned the amplitude-frequency characteristic |Hn,n| at the top of the structure, because this is the point of maximum displacements corresponding with the first or the second natural frequencies of the structures under consideration. It may however happened that it is necessary to reduce the values of an amplitude-frequency characteristic corresponding with several different natural frequencies of a structure. That kind of result can not be reached by means of only one damper. When one decides to use more than one MVD, he must determine not only the optimum parameters c(t) and k(t) of these dampers, but also to choose their positions. To solve this problem it is not enough to apply the method of optimization described in . In the present paper the authors have checked the possibility of application oj the particle swarm optimization (PSO) method, to solve the present problem. It has been shown, that this method enables to determine the optimum parameters of several MVD mating with a structure. Each of these dampers can be "tuned" to an other natural frequency of the structure. The method allows also to determine the optimum positions of the MVD-s. Presented in the paper examples show, that the method can be practically used. In this way, the scope of the methodic described in , has been broadened to the new kind of objects, where it is necessary to apply several MVD-s placed in the different points of a structure.