Following the Kinana-Daoud formalism, the generalized Klauder-Perelomov coherent state of anharmonic oscillator is constructed. The completeness of the state and the properties of the Hilbert space are disscussed. It is shown for the research of Mandel Q parameter that KP coherent state coincides with the super-Poissonian. In the some conditions the KP coherent state exhibits both squeezing and antibunching.