Dielectric relaxation properties of amorphous poly(propylene oxide)s with nominal molecular weights of 1000 and 2000 have been studied as a function of temperature at gigahertz frequencies using a time-domain reflectometry method. Two relaxation processes were observed in the dielectric spectra. The dielectric relaxation parameters were quantitatively estimated by the Havriliak-Negami equation. At the lower frequency side of the main dispersion, a normal-mode relaxation was seen and the relaxation times obtained from the spectra were found to be approximately one decade longer than the values calculated assuming the Rouse-Zimm theory. The hydrogen-bonded structures in the system are discussed. The relaxation strength is also discussed in terms of chain conformation. The relaxation times of the higher frequency process were found to be independent of the molecular weight. The shortest possible relaxation times estimated by the Vogel-Fucher-Tamman equation were in good agreement with those reported before.