Nucleon-antinucleon optical potential, which explains the experimental data for the processes e + e − → pp and e + e − → pions near the threshold of pp pair production, is suggested. To obtain this potential we have used the available experimental data for pp scattering, pp pair production in e + e − annihilation, and the ratio of electromagnetic form factors of a proton in the timelike region. It turns out that final-state interaction via the optical potential allows one to reproduce the available experimental data with good accuracy. Our results for the cross sections of e + e − → 6π process near the threshold of pp pair production are in agreement with the recent experiments.