  BICEP2's detection on the primordial B-mode of CMB polarization suggests that
inflation occurred around GUT scale, with the tensor-to-scalar ratio r~0.2.
Inspired by this discosvery, we study the topological inflation which was
driven by a double/single/no well potential. We show that with proper choice of
parameters, all these three types of topological inflationary models could be
consistent with the constraints from current observations.
