In this paper, the notion of cyclic Ricci semi-symmetric real hypersurfaces in the complex hyperbolic quadric Q m * = SO 0 2,m /SO 2 SO m is introduced. Under the assumption of singular normal vector field N, we have two cases, that is, normal vector field N is either A-principal or A-isotropic. Even though, in the case of A-principal, we proved that there does not exist a real hypersurface in the complex hyperbolic quadric Q m * = SO 0 2,m /SO 2 SO m satisfying the cyclic Ricci semi-symmetric. But on the other case, we proved existence of real hypersurfaces with the same condition.