[en] The problems encountered in the determination of gold and uranium that are present simultaneously in a sample of resin were considered, and new background positions, as well as correction factors for background lift and partial spectral overlap, were determined for use in the X-ray-fluorescence measurement of these elements. The agreement between the results obtained by the use of the X-ray-fluorescence method and those obtained by atomic-absorption spectrophotometry were found to be satisfactory. The relative standard deviation in the former measurements is 0,005 at a concentration of 1000 p.p.m., and the working range of the calibrations is 15 to 1000 p.p.m. These limits can be extended by further dilution of the sample. The limits of determination are 6 p.p.m. in the briquette prepared from a sample of resin and 18 p.p.m. in the sample when the maximum mass of the sample is 3 g. The procedure is intended primarily for use in the rapid determination of gold and uranium when no analyses for other elements are required. The time taken for the analysis is 2 hours for 10 samples when 6 standards are used. A computer programme that was developed for the processing of the data is appended as part of a laboratory method