We present full potential ab initio calculations to study structural and electronic properties of CeM₂Si₂ with M=Ru, Rh, and Pd. Two kind of calculations are performed: one considering the 4f states as hybridized ones and another simulating Ce systems with nonhybridized 4f states. We calculate the hybridization function and analyze the influence of the 4f states on structural properties such as equilibrium volume, c/a ratio, and bulk modulus and study their evolution together with that of the spin magnetic moment under applied hydrostatic pressure. The results are compared with experimental data.