In this paper we consider a quark-antiquark (qq¯) pair which can be interpreted as a meson in N = 4 SYM thermal plasma. We assume that the string moves at speed v and rotates around its center of mass simultaneously. By using the AdS/CFT correspondence, we obtain the momentum densities of the rotating string and determine its motion for small angular velocities. Then in general case, we calculate the screening length of qq¯ pair numerically and show that its velocity dependance is in consistent with the well known formula LsT ∼ (1 − v2)1/4 in the literature.