The baryogenesis is reanalyzed based on the model by Cohen et al., in
which the lepton number, generated by the neutrinos scattering from th
e bubble walls appearing in the development of the electroweak phase t
ransition, is converted to the baryon number excess through the sphale
ron transition. A formula obtained in this paper on the lepton number
production rate is correct for both the thin and thick walls within th
e linear approximation. Investigation on the time development of the f
irst order phase transition is simulated, including the temporal chang
e of the wall velocity as well as the fusion effect of the bubbles. Th
e details of such phase transition dynamics are found to affect consid
erably the final value of the baryon number excess.