For the oxidation curing of polycarbosilane (PCS) fibers in air, a first-order reaction based on the weight gain w (in percentage) was approached with the kinetic equation dw/dt=k(wm-w). The maximum weight gain wm was observed to be 16% under normal oxidation conditions and the activation energy E to be 79.27 kJ/mol. The numeric integration based on the kinetics provides a precise prediction of the curing degree of PCS fibers under various heating programs and conditions.