From the equation for the matrix elements of the field density in the two-photon process, with the aid of the generation function method, the exact analytical expressions of the amplitude N-power squeezing generating in two-photon absorption process are derived. The variation of the amplitude N-power squeezing with the diemensionless time τ, power exponent N, the phase θ and the average number of photons of the incident field are discussed. It have been shown that the amplitude N-power squeezing for different power exponents N is independent of each other, the two-photon absorption process is one of effective ways to generate the amplitude N-power squeezing.