A new kind of one-dimension photonic crystal (PC) which can be used as an angular filter was studied. With the knowledge of resonance tunneling mechanism in zero average index PC, we find such PC must contain negative refractive metamaterials and its structure parameters should satisfy some special conditions. When electromagnetic wave of a given frequency incident on such PC, only those portions with incident angles identical with the special angle (or angles) can pass through such PC, while the others can not. Such filter would have wids applications in microwave and optical communications.