  We are concerned about the averaging principle for the stochastic Burgers
equation with slow-fast time scale. This slow-fast system is driven by L\'{e}vy
processes. Under some appropriate conditions, we show that the slow component
of this system strongly converges to a limit, which is characterized by the
solution of stochastic Burgers equation whose coefficients are averaged with
respect to the stationary measure of the fast-varying jump-diffusion. To
illustrate our theoretical result, we provide some numerical simulations.
