<p>In this paper, we propose the first- and second-order energy-stable implicit-explicit Runge-Kutta methods for the modified phase field crystal equation. This model is a nonlinear sixth-order damped wave equation, in which the linear and nonlinear terms are treated implicitly and explicitly, respectively. The second-order time derivative is discretized using two different time-integration strategies. For the proposed schemes, we establish energy stability and mass conservation by employing pseudo-energy techniques. Finally, we demonstrate the effectiveness of the proposed methods through a series of numerical experiments.</p>