In this paper, the effects of hydrostatic pressure on the thermodynamic and vibrational properties such as bulk modulus, second order elastic constants, acoustic phonon frequencies, density of state (DOS) and Grüneisen parameters (γ) on Cu-%20Pd alloys was examined by using the molecular dynamics (MD) simulation. Interaction forces between atoms in the model system were calculated by Quantum Sutton-Chen (Q-SC) potential energy function. The simulation results obtained from this study were compared with the experimental and theoretical results in the literature.