In this paper we introduce and consider the hyperbolic sets for the flows on pseudo-Riemannian manifolds. If $\Lambda $ is a hyperbolic set for a flow $\Phi $, then we show that at each point of $\Lambda $ we have a unique decomposition for its tangent space up to a distribution on the ambient pseudo-Riemannian manifold. We prove that we have such decomposition for many points arbitrarily close to a given member of $\Lambda $.