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This paper studies the orthogonal amplitude biexciton squeezing effect through a quantum interaction system between photons, excitons and biexcitons in the even-odd nonlinear coherent state. On the basis of existing squeezing criteria, we give an analytic expression for the degree orthogonal amplitude biexciton squezing in this state. The survey results show that biexciton orthogonal amplitude squezing occurs in the even-odd nonlinear coherent state. The degree of squeezing depends on the properties of the biexciton, the squeezing parameters as well as the nonlinear functions. In particular, when the nonlinear function corresponds to the Gilmore-Perelomov coherent function, the squeezing takes the maximum value.