Using the 24-litre propane chamber, photographs from JINR π0-meson production in inelastic interactions of π--mesons of momentum 6.8 GeV/c with nucleons are examined. About 2700 pairs of stereoscopic pictures have been scanned and 1275 events of π--N inelastic interactions have been found in an effective region 29.3 cm wide. In these events, 936 π--p and 339 π--n events, 240 and 89 electron-positron pairs have been observed respectively. After taking account of the efficiency of the bubble chamber for detection of γ-photons, it is found that the mean number of π0 mesons produced per event is n(π0)=1.00±0.06 and the mean transverse momentum of the γ-photons is Pγ⊥ = 173 MeV/c. In addition, the energy distribution of the γ-photons is especially examined. Under the assumptions that the γ-photons are entirely due to π0 decays and that the energy spectrum of the π0 mesons is the same as that of the π± -mesons', an energy distribution of γ-photons can be deduced from the energy distribution of the secondary π±-mesons produced in π--N interactions at the same incident energy; the γ-photon energy distribution obtained in the present experiment is in agreement with this deduced distribution within experimental error.