Phonon thermal-conductance of a one-dimensional semiconductor nanostructure has been calculated by self-consistently solving coupled nonequilibrium Green function equations for electrons and phonons. The channel length, N, dependence of the phonon thermal-conductance change, ΔK p , due to the electron-phonon interaction is found to obey a simple relation ofp e with a constant proportionality factor β for the calculated N range up to N = 100 (G e is the electrical conductance). The phonon thermal-conductance change in the isotopically disordered system is found to be hardly affected by the presence of the isotope impurities. © 2019 The Japan Society of Applied Physics where u i is the mass-renormalized atom displacement.The electron-phonon interaction is taken into account only in the channel region within the Su-Schrieffer-Heeger (SSH) model, 36) where the electron transfer is affected by the lattice distortion. The electron-phonon interaction Hamiltonian 31) is thus given by