The anisotropy of the resonant Auger decay of photon-excited Kr 3d~i'~5~5p and Xe 4d3/Q 5i$6p states has been studied by the multiconfiguration Dirac-Fock method. The calculations account for the configuration interaction both in the initial and in the 6nal states of the Auger decay. For the nonresolved nd (n+ 2)p (J = 1) resonances (n = 3 for Kr, and n = 4 for Xe) the average intensities and the anisotropies of the Auger lines were calculated by weighing each partial rate by the pertinent Dirac-Fock photoexcitation probabilities. Our results show that, in addition to the initialand Gnal-state correlation, both the relaxation and the exchange interaction have a substantial effect on the anisotropy of these Auger spectra. For most Auger lines there is good agreement between our calculated P parameters and experimental values for the Kr and Xe nd i (n+ 2)p photoexcitation resonances; there is also satisfactory agreement for the Kr 3d~i'~5p and Xe 4d~i~6p resonant Auger spectra. However, the remaining notable discrepancies between theory and experiment indicate that important correlation effects are still omitted in our calculations. Discrepancies between difFerent experimental results stress the need for further improvements on the experimental side.PACS number(s): 32.80.Hd, 32.80.Fb