Summary: In this paper, the \( (2+1)\)-dimensional generalized Camassa-Holm-Kadomtsev-Petviashvili (gCH-KP) equation is investigated. We succinctly construct its bilinear form. By further using the symbolic computation approach, we can obtain the third and fourth order rogue wave solutions of \( (2+1)\)-dimensional gCH-KP equation. The results show that the parameters of the auxiliary function will control the shape of rouge waves.