The dielectric barriers discharges or silent discharges had knew these last years a great progress, particularly in the area of ultraviolet light production, which produced by Xe2* excimer molecules. This new application led to the realization of the nonpolluting excimer lamps. In this work we develop a one-dimensional model of sheath coupled to a kinetic model in NeXe mixture. Calculations were done for sixteen chemicals species in xenon concentration of 10% and under pressure of 400 torr. The results illustrate the spatiotemporal evolution of the charged particles and neutral species as well as the variations of the electric parameters of the lamp during the first pulse discharge.