Temporal changes of the rigidity spectrum of the recurrent Forbush effect (16--30 June, 2003) have been studied using the data of the worldwide network of neutron monitors. The rigidity spectrum is soft at the beginning and at the end phases of the recurrent Forbush effect, and it is hard in the minimum phase. The steady-state model based on the Parker's transport equation is able to explain the changes of the rigidity spectrum of the recurrent Forbush effect of the galactic cosmic ray intensity. An increase of the power spectral density in the lower frequency area of the energy range of the interplanetary magnetic field turbulence (\sim 10^-6-- 10^-5\protect \relax \kern .16667em Hz) causes the hardening of the rigidity spectrum of the recurrent Forbush effect of the GCR intensity.

PACS numbers: 96.40.Cd, 96.50.Ci, 96.50.Fm