When a ５１４.５ｎｍＡｒ＋ laser beam was incident on a Cu-doped ＫＮＳＢＮ crystal, a cat type of self-pumped phase conjugation was observed. And when two collinear ５１４.５ and ４８８ｎｍ beams of Ａｒ＋ laser were incident on the crystal simultaneously, a phenomenon of self-pumped phase conjugation quenching was observed. Both theoretical and experimental results are presented and discussed.