[en] In this work we calculate the inclusive 1- and 2-jet production in photon-photon-collisions up to next-to-leading-order QCD. The photons are treated as quasi-real (Q²≅0). The next-to-leading order corrections are completely calculated for direct, single- and double-resolved photon. The QCD corrections consist of the virtual corrections and the real 2→3 processes, which are integrated by using the ''phase-space-slicing''-method partly analytically, partly numerically. In this way all appearing singularities are cancelled, or absorbed in the renormalization of the parton densities of the photon. The results of that calculation are used to make comparisons to existing experimental data from TRISTAN and LEP and to make an outlook to future experiments like LEP2 or an 500 GeV-NLC. (orig.)