The structural and dynamical behaviour of seventeen solid polymorph of the non-molecular CO2 compound was evaluated using the full potential linear augmented plane wave method (FP-LAPW) in the framework of density functional theory within the generalized gradient approximation (GGA-PBEsol). We showed the presence of stable non-molecular solid CO2 compound, which has the Pa3‾ phase as the most energetically stable phase. The Pa3‾ phase of the CO2 compound under pressure undergoes phase transition to the rutile P42/mnm phase at P ≈ 5 GPa, while the Pnnm phase was found to be dynamically unstable. Also, the α-cristobalite P41212 phase was found to be dynamically unstable with imaginary mode in the phonon dispersion curves. We showed that the I4‾2d phase exist at P ≈ 11 GPa and undergoes phase transition to the tetragonal P4‾m2 phase a high pressure of P ≈ 168 GPa Thus, the transition path for the non-molecular solid CO2 is given as shown below:Pa3‾→3.5 GPaPnnm→7.7 GPaP42/mnm→11 GPaI4‾2d→168 GPaP4‾m2