Atmospheric turbulence has significant influences on both the trajectories and strengths of wake vortices. In this paper, a quasi-wavelet method is used to generate a random atmospheric turbulence field based on the von Kármán spectrum, in which atmospheric turbulence is represented by groups of random eddies. An inviscid wake vortex system, out-of-ground effect or in-ground effect, is immersed in the generated turbulence background to study the effects of random turbulence on wake vortices. The simulated wake trajectories are compared with literature data from several current prediction models as well as from field measurement.