According to linear superposition principle of quantum mechanics, it is constructed respectively two new type of multi-mode superposition state light field. By using the general theory of the unequal-order multi-mode squeezed state, the properties of generalized nonlinear second-order unequalled-power Aj-th power H-squeezing of the two type multi-mode superposition states mentioned above are studied firstly in detail. It is found that the two new type multi-mode superposition states can present second-order unequalled-power Nj-th power H-squeezing effect that changes periodically under the case of different amplitude power of each mode (the amplitude powers of all modes are even number;or the amplitude powers of all modes are odd number;or part modes are odd and others are even ), and the initial phase of each mode, and the two state superposition propability amplitudes, and all of the cavity-mode number and so on satisfy respectively certain condition. This pure quantization effect demonstrates that the two states are typical multi-mode nonclasical light fields,and found that between the states mentioned above present the phenomena of second-order unequal-power N_j-th power H-similitude squeezing and N_j-th power H-degenerate squeezing.