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The Josephson currents through real vector potential (RVP) and pseudo vector potential (PVP) barriers in graphene are investigated.In graphene,the pseudo vector potential may be caused by a local strain.The comparison of supercurrents induced by the two type-barriers is focused.As a result,we find that not only will the RVP induce a transition Josephson current from the 0 → π state but also causes the difference in the phases of the order parameters of the two superconducting graphene layers to shift from φ → 2φ.The critical current is PVP-independent around the neutrality point while it strongly depends on the RVP.The vector potential dependence of critical current is found to be perfectly linear for both PVP and RVP barriers.