The applicant properties of the Cavity Soliton(CS) for example, writing and deleting of CS in the arbitrary positions of the transverse cross section in the cavity and the controlled motion of the CS, causes to present the application in the all-optical delay line, all-optical information processing and optical memories. In this paper, we investigated switching ON and OFF of the self-pulsing CSs in the Cavity Soliton Laser (CSL). Therefore, we showed the switching ON and OFF of the Self-pulsing-CS in the arbitrary position of the transverse cross section in the cavity by using of the numerical calculations and simulation and suitable selection of system parameters.