We investigate theoretically the nonclassical properties, such as cross correlation function and sub- Poisson distribution effect, for the nonlocal coherent photon-added two-mode circular state. The results show the superposition number and excitation number have significant effect on these properties. When the superposition number , the value of cross correlation function decreases monotonously with the increasing of the average photon number of single-mode and the nonlocal coherent photon-added two-mode circular state has the cross correlation effect. Increasing the superposition number , the cross correlation effect will be reduced. When the superposition number , sub-Poissonian distribution effect of the nonlocal coherent two-mode photon-added circular state can be observed only when single-mode average photon number is greater than a certain threshold value.
