In LHC physics we study the spin correlation of top-antitop pairs production to investigate the production mechanism of heavy quarks[F. Hubard et al. Eur. Phys. J. C 44 (2006) 13]. The s-channel process mediated by graviton Kaluza-Klein modes in ADD model with several extra dimensions[N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. 429B (1998) 263, hep-ph/9803315] or in the Randall-Sundrum model with only one extra dimension[L. Randall and R. Sundrum, Phys. Rev. Lett. 83 (1999) 3370 hep-ph/9905221] contribute to the top-antitop pair production and affects the resulting top spin correlations. We calculated the full density matrix for the top-antitop pair production. We find a sizable deviation of the top spin correlations from the Standard.