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The BiSb alloy is of special significance m topological insulator research. Here we focus on Bi0.96 Sb0.04 alloy m which the conduction band edge just touches the valence band edge. First increasing and then decreasing of the resistance of Bi0.96 Sb0.04alloy shows its typical semimetal behavior. Transport measurement shows that the Shubnikov de Haas oscillation occurs m longitudinal magnetoresistance and transverse Hall resistance with opposite phase. Further investigation of longitudinal magnetoresistance (MR) shows that when magnetic field B is along with the electric current, the longitudinal magnetoresistance is negative at some magnetic field from 0.5 to 1.5 T. which is resulted from the chiral anomaly of Weyl fermions splitted from dirac cone by the magnetic field. More interestingly, the negative part of the longitudinal MR is not just a monotonic decrease, but with a kind of oscillation. This could be an approach for acquiring Weyl Fermions and Weyl semimetals m Bi0.96 Sb0.04 single crystal alloy. [ABSTRACT FROM AUTHOR]