We have determined the time variation of the rigidity dependence of the galactic cosmic ray modulation from 0.6 to 50 GV at the Earth during two complete 22-year solar cycles from 1960 to 2001. During three of the four cosmic ray intensity decrease periods the modulation can be described by the modulation function M = exp (KP-δ) with δ = 1.1 ¿ 0.1 and K varying to account for the magnitude of the modulation. The intensity decrease period from 1987 to 1990 was different with δ = 0.8 ¿ 0.1. The same modulation function M = exp (KP-δ), with δ = 1.15 ¿ 0.10, also fitted the four intensity recovery phases of the two 22-year modulation cycles. Thus there was no change in the rigidity dependence of the 22-year cosmic ray modulation with the change in solar magnetic field polarity.