In this paper we present the model of record of 3-dimensional transmission and reflection gratings for 0.3 < k < 1 (k- exponent of intensity in photopolymerization equations) in photopolymers with a dye sensitizer. The numerical simulation of kinetics of transmission and reflection gratings record in this kind of photopolymers and its diffraction performances for optional value of k and contrast are carried out on the base of the model. The model also takes into consideration the following factors: polymerization and diffusion mechanisms of record, optical absorption, contrast of interference pattern, change of diffusion coefficients during record according polymerization level.