Effects of the intra-site Coulomb interaction between electrons on the quantized conductance in a quantum wire are investigated with the aid of the Hubbard Hamiltonian. The second-order self-energy with respect to the Coulomb interaction is taken into account within a single site approximation for calculating the conductance of a quantum wire. Owing to inter- and intra-subband electron-electron scattering at finite temperatures caused by the Coulomb interaction, the conductance is found to deviate from the quantized value, 2Ne(2)/h (where,N is an integer). Furthermore, in the case where the subband edge lies energetically near the Fermi energy, the valley appears in the conductance as a function of the stretching length of the wire. (C) 1998 Elsevier Science B.V. All rights reserved.