A new Monte Carlo model is proposed for radiative corrections to Bhabh
a scattering by extending QEDPS developed for multi-photon emission in
muon pair production in e+e- annihilation. This is a QED version of t
he model known as parton shower in QCD. The main difference between mu
on pair production and Bhabha scattering is that the latter cross sect
ion shows the singularity of 1/t2. A shower algorithm is constructed o
n the radiator formalism modified in a suitable form for this singular
ity. Some results of the model are presented and compared with O(alpha
) corrections.