Isotope Dilution Alpha Spectrometry (IDAS) and Reverse Isotope Dilution Alpha Spectrometry (RIDAS) have been developed for determining the concentration of plutonium in the irradiated fuel dissolver solution. The method exploits 238Pu in IDAS and 239Pu in R-IDAS as a spike and provides an alternative method in the event of nonavailability of 242Pu, which is required in Isotope Dilution Mass Spectrometry (IDMS). Depending upon the burnup of the fuel, 238Pu or 239Pu is used as a spike to change the 238Pu/(239Pu + 240Pu) alpha activity ratio in the sample by a factor of 10. This change is determined by alpha spectrometry on electro-deposited sources using a solid-state silicon surface barrier detector coupled to a multichannel analyzer. The validity of a simple method based on the geometric progression decrease for the far tail of the spectrum to correct for the tail contribution of 238Pu (5.50-MeV) peak to the low energy 239Pu + 240Pu (5.17-MeV) peak is established. Results for the plutonium concentration on different irradiated fuel dissolver solutions with burnup ranging from 1000 to 100 000 MWd/tU are presented and compared with those obtained by IDMS. The values obtained by IDAS or R-IDAS and IDMS agree to within 0.5%.