The paper considers problems concerning the entry of the light beam into optical fibre, its propagation inside as well as the processes connected with the beam's exit. Light flux losses occurring during the processes mentioned above, such as Fresnel' s reflections, internal reflections on the interface of the two media as well as the losses resulting from the absorption of the radiation inside the core of the optical fibre were discussed. The work also describes the algorithm of numerical computations and the results of computer simulations in the function of such variable parameters as the distance of the light source from both the symmetry axis and the front of the optical fibre, linear absorption coefficient of the fibre core material, losses resulting from the defective internal reflections as well as the length of the core itself The numerical results were presented graphically.