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We show that the mass matrix of electrically neutral gauge bosons in therecently proposed model based on SU(3)_C X SU(3)_L X U(1)_X group with threelepton singlets [1] has two exact eigenvalues: a zero corresponding the photonmass and the second one equaling the mass of the imaginary component A_5\mu}.Hence the neutral non-Hermitian gauge boson X^0_\mu ( defined as \sqrt{2}X^0_\mu = A'_ 4\mu- i A_5\mu) is properly determined. With extra vacuumexpectation value of the Higgs field n_2, there are mixings among the StandardModel W boson and the extra charged gauge boson Y carrying lepton number 2(bilepton) as well as among neutral gauge bosons Z, Z' and X^0. These mixingslead to very rich phenomenology of the model. The leading order of the Michelparameter ($\rho$) has quite special form requiring an equality of the vacuumexpectation values in the second step of spontaneous symmetry breaking, namely,k_1=k_2.

Michel parameter in 3-3-1 model with three lepton singlets