  We calculate the cross section of the process e^+e^- \to t\bar t near
threshold by resumming Coulomb-like terms with next-to-next-to-leading (NNLO)
accuracy. The nonrelativistic Green function formalism and the method of
``direct matching'' are used. The NNLO correction turns out to be large, of the
same size as the NLO correction. It changes the position and the normalization
of the 1S-peak. The obtained results are compared with results existing in the
literature.
