The capture cross sections of Kr and Xe isotopes have been determined by a fast cyclic activation technique. The data were used to perform s-process calculations with phenomenological models. The weak and the main s-process component were studied. Astrophysical parameters were determined in the frame of the model, i.e., iron seed abundance, the neutron exposure, average number of neutrons captured by the iron seed, the temperature dependence of the neutron exposure, neutron density, temperature, and electron density. The solar abundances of Kr and Xe were determined. From the Kr-85 branching the pulse width of a pulsed s-process was estimated. The isotopic anomaly Xe-S, s-process Xe, was investigated.