We report on a study of the far-infrared reflection for a sintered YBa2Cu3O7 sample that contained a large portion of preferentially oriented crystallites with thea–b plane parallel to the surface and that showed extraordinary high far-infrared reflectivity. From experimental reflection data we determined, by Kramers-Kronig analysis, the dynamical conductivity and extracted the contributions due to free charge carriers and phonons, respectively. We find evidence for an anomalous behavior of the dynamical conductivity at temperatures aboveT c ; the dynamical conductivity increases strongly for temperatures approachingT c and is strongly frequency dependent. By use of the Mattis-Bardeen theory we obtain an estimate for the superconducting energy gap of 2Delta/kT c sime4.6 (forTLtT c ). We find that the lowest frequency infrared-active phonon mode is less damped in the superconducting state than in the normal state.