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Based on the fact that a two-mode squeezed number state is a two-variable Hermite polynomial excitation of the two-mode squeezed vacuum state,the result of one-mode l-photon measurement for the two-mode squeezed number state S2|m,n)is discussed.It is found that a remaining field-mode simultaneously collapses into a number state |n-m+1＞with the coefficient being a Jacobi polynomial of n,m and l,which manifestly exhibits the entanglement between the two modes,i.e.it depends on the number-difference between the two modes.The second mode collapses into an excited coherent state when the first mode is measured as a coherent state.