We study the double barrier tunneling properties of Dirac particles in spin-orbit coupled Bose-Einstein Condensates.The analytic expression of the transmission coefficient of Dirac particles penetrating into a double barrier is obtained.An interesting resonance tunneling phenomenon is discovered in the Klein block region which has been ignored before.Resonant tunneling is one of the most important issues in quantum physics theoretically and experimentally.It not only allows us to realize and to reconsider some physical phenomena but also has a variety of novel applications in many fields.Therefore,the research on resonant tunneling arouses great interest from scientists all over the world and a lot of impressive achievements[1-11] have been made in recent years.