We study a model of flocking in order to describe the transitions during thecollective motion of organisms in three dimensions (e.g., birds). In this modelthe particles representing the organisms are self-propelled, i.e., they movewith the same absolute velocity. In addition, the particles locally interact bychoosing at each time step the average direction of motion of their neighborsand the effects of fluctuations are taken into account as well. We present thefirst results for large scale flocking in the presence of noise in threedimensions. We show that depending on the control parameters both disorderedand long-range ordered phases can be observed. The corresponding phase diagramhas a number of features which are qualitatively different from those typicalfor the analogous equilibrium models.