PBAbstract/BPA Greenberger-Horne-Zeilinger (GHZ) entangled state with a phase is crucial for realizing desired multipartite quantum states for practical applications. Here, it is reported that the violations of the general Bell inequality (GBI) introduced in using the fourphoton polarizationentangled phaseGHZ state realized via intrinsic polarization correlation and collective twophoton coherence in the 5S1/2-5P3/2-5D5/2 transition of SUP87/SUPRb atoms. The phaseGHZ state can be achieved by the unitary transformation of only one local phase of the four photons. Theoretically, the GHZ state with the pi/4 phase affords maximal violation of the GBI of 2√2 at the local measurement settings of the Pauli operators Ix/I and Iy/I. Strong violations of the GBI of the phaseGHZ state by 47 standard deviations are experimentally demonstrated. In addition to the entanglement witness for the phaseGHZ state, the results represent a genuine fourphoton entanglement of the phaseGHZ state, thereby providing a novel resource for realizing photonic quantum computation, magicstate distillation from entangled states, and quantum networks based on atom-photon interactions./P/P