In order to study the influence of nonlinearity and superposition on quantum state, by applying theoretical analysis and numerical computation, a new quantum state, namely nonlinear circular state, is studied. The nonclassical properties of the state are analyzed such as average photon number distribution, sub-Possion distribution and squeezing effect, and its Wingner function is calculated. Through numerical analysis, the results show that with the increase of the Lamb- Dicke parameter and superposition number of quantum states, the average photon number of nonlinear circular state is increased and the sub- Poisson distribution and squeezing effect of the state are both weakened. The nonclassical properties of the state are very sensitive to nonlinear effects which are characterized by the Lamb- Dicke parameter and superposition number of quantum states.