Total attenuation coefficients of aluminum and gold for 14.4-keV gamma rays have been measured using a resonant (i.e., Mossbauer) detector to reduce forward scattering and background corrections. The results are 390.7=b0.7 and 59 290±70 barns per atom for aluminum and gold, respectively. These values imply photoelectric cross sections of 371.0=1=0.7 and 58 220d=70 barns/atom, respectively. The results are in agreement with other, less precise, measurements in this energy region. Present theoretical estimates of these cross sections are high by 5% for aluminum and 35% for gold.