The subject of investigation is a SrBr 2 laser generating at a wavelength λ = 6.45 µm. This type of laser generation is finding ever wider application in medicine when working with soft and bone tissue providing rapid subsequent recovery. Of all laser sources generating at this wavelength, the new SrBr 2 laser is gaining ever more ground due to its advantages and is therefore of commercial interest. With the goal of developing new, higher-powered SrBr 2 lasers, in this paper, the so-called phenomenological modeling has been used for the first time for this type of laser. An estimation of the degree of influence of 7 independent input laser quantities on laser output power has been performed using factor and regression analysis. A methodology has been developed with the help of which a series of new SrBr 2 lasers with higher output power than existing ones has been predicted. Problems related to the planning of the experiment have been partially solved -carrying out of filtering and extremal experiment.