In a laser pump arrangement for a laser medium that amplifies a laser beam, comprising at least one laser pump source (1″) with a plurality of emitters for generating partial pumping streams (TPS1″, TPS2″), the partial pumping streams (TPS1″, TPS2″) are led through a coupling optic to a homogenizer (3″) and then are thoroughly mixed in one axis through multiple reflections. In the process, the homogenizer (3″) and the laser medium are designed and disposed such that the pump stream exiting the homogenizer (3″) is led directly onto or into the laser medium while maintaining divergence in the mixing axis (DA), wherein the partial pumping streams (TPS1″, TPS2″) are projected, in particular focused, directly onto or into the laser medium in a projection axis (PA) that is perpendicular to the mixing axis (DA).