  We show that the mass matrix of electrically neutral gauge bosons in the
recently proposed model based on SU(3)_C X SU(3)_L X U(1)_X group with three
lepton singlets [1] has two exact eigenvalues: a zero corresponding the photon
mass 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 vacuum
expectation value of the Higgs field n_2, there are mixings among the Standard
Model 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 mixings
lead to very rich phenomenology of the model. The leading order of the Michel
parameter ($\rho$) has quite special form requiring an equality of the vacuum
expectation values in the second step of spontaneous symmetry breaking, namely,
k_1=k_2.
