Compact space-like hypersurfaces with harmonic Riemannian curvature tensor in de Sitter space were studied, a rigidity theorem about this class of hypersurfaces was obtained, compact space-like hyperfaces with harmonic Riemannian curvature tensor and with nonnegative section curvature in de Sitter space Sn+1,1 are totally umbilical or isometric to Mp=Mp1(c1)*Mn-p2(c2), here c1 and c2 are constant.