In this paper, we consider the effect of external force on the large-time behavior of solutions to the Cauchy problem for the three-dimensional full compressible Navier–Stokes equations. We construct the global unique solution near the stationary profile to the system for the small H2(R3) initial data. Moreover, the optimal Lp–L21348a6d338f34beee4c883820"> time decay rates of the solution to the system are established via a low frequency and high frequency decomposition.