The N-order squeezing of the pure superposition states |a,β>_(mn)=a|m>+β|n> is studied. We find that there is only N=n—m order squeezing for odd (n—m) except for (n—m)=1(m≥1) , but there are N=n—m order and N=(n—m)/2 order squeezings for even (n—m). The N-order squeezing of the pure superposition states | a, β> _ (mn) = a | m> + β | n> is studied. We find that there is only N = n-m order squeezing for odd (n- m) except for (n-m) = 1 (m≥1), but there are N = n-m order and N = (n-m) / 2 order squeezings for even (n-m).