Based on the Schwinger Bose operator realization of angular momentum, we introduce the entangled state representation as well as the Wigner operator in such representation and then derive the Wigner quasiprobability function of spin coherent states. The properties of corresponding Wigner function in the phase space are discussed by numerical calculation. The results indicate that the spin coherent states based on Schwinger Bose operator realization actually show entanglement properties.