Inclusive particle production in hadronic events taken at the Z resonance with LEP I is reviewed. With approximately 20 million Z decays, the four LEP experiments have studied the fragmentation of partons into identied particles. The high statistics allows for a detailed study of this non-perturbative QCD process. In this review the measurements of the four experiments are collected and the momentum spectra are compared to Monte Carlo models. More detailed aspects, such as relative production rates, particle content in gluon jets, particle correlation etc., are also treated.This review represents the`Habilitationsschrift', which has been submitted to the Physics Department at the Universit at-GH Siegen, D-57068 Siegen.