We investigate the structural and thermodynamic properties of cerium in a phase by using the first-principles plane wave method with a relativistic analytic pseudopotential of Hartwigsen, Goedcker and Hurter (HGH) scheme in the frame of local density approximation (LDA). The obtained lattice constant and bulk modulus are consistent with the available experimental data. Moreover, dependences of the normalized primitive volume V/Vo on pressure and the thermodynamic quantities (including the Grüneisen constant 7 and thermal expansion α) ontemperature and pressure are obtained. The obtained linear thermal expansion parameter a (9.857 × 10-6 K-1 at 293.15K and OGPa) is slightly larger than the experimental value (6.3 × 10-6 K-1). All the results indicate that we provide an effective method to deal with the ground properties of the strongly interacting d- and/or f-electron systems.