Goos-Hänchen shift in silicene

•We obtain the analytical expressions of GH shift in silicene by employing the method of angular spectrum analysis and boundary conditions.•The spatial GH shift is large and negative at the pseudo-Brewster angle when the silicene is in metal phases.•The angular GH shift varies very rapidly and even changes the sign near the pseudo-Brewster angle.•The GH shift can be manipulated by controlling the external circularly polarized light electric field or magnetic field.