A fiber laser arrangement having a high beaming power includes a plurality of continuously operating coherent individual fiber lasers. Pumping energy generated by a common master oscillator operated in the longitudinal mode is distributed to the fiber lasers by way of a fiber splitter, in a branched manner. An integrated electro-optical phase shifter is assigned to each individual fiber laser, and can be controlled by an electronic control system. By appropriate displacements of the optical phases in individual phases of the fiber laser arrangement atmospheric turbulence effects on the propagation path of the laser radiation to a target are compensated in order to obtain an optimal focusing of the entire laser radiation onto the remote target.