When the beam is totally reflected on the interface between two media, the reflected light has a transverse Goos-H nchen (GH) shift. An atomic medium is introduced in the Kretschmann structure, and the surface plasmon wave is excited by the coupling light. The reflective GH shift of probe light under the surface plasmon assisted interference effect is studied. When the free propagating wave and the surface plasmon wave are respectively used as the coupling light, the reflectivity and the reflective GH shift of probe light are compared. It is shown that there is an asymmetric line-shape similar to Fano resonance in the reflectivity curve when the incident angle of the probe light deviates from the resonance angle, and the reflective GH shift can shift linearly between positive and negative values. When the coupling light is the surface plasmon wave, the reflective GH shift is more sensitive to the variation of the detuning of the probe beam.