The N-th power H-squeezing effects of photon field for the photon-added two-mode squeezed vacuum state a+mb+m|ξ> were numerically studied. It is shown that the photon field can exhibit the N-th power H-squeezing effects (N = 1, 2, 3, 4, 5,…);for higher power H-squeezing (N ≥2) and larger γ (γ is the squeezing parameter), as m increases, the N-th power H-squeezing effects increase.