We reconsider the minimal supersymmetric SO(10) model, where only one 10 and one overline 1̅2̅6̅ Higgs multiplets have Yukawa couplings with matter multiplets. The model is generalized to include CP-violating phases, and examined how well its predictions can meet the current neutrino oscillation data. Using the electroweak scale data about six quark masses, three angles and one CP-phase in the Cabibbo-Kobayashi-Maskawa matrix and three charged-lepton masses and given tan β (the ratio of vacuum expectation values of a pair of Higgs doublets), we obtain the Pontecorvo-Maki-Nakagawa-Sakata matrix and the ratio, Δm⊙²/Δm⊕², as functions of only one free parameter in the model. In our analysis, one-loop renormalization group equations for the gauge couplings, the Yukawa couplings and the effective dimension-five operator are used to connect the data between the electroweak scale and the grand unification scale. Fixing the free parameter appropriately, we find, for example, sin ²2θ12 ~ 0.72, sin ²2θ23 ~ 0.90, sin ²2θ13 ~ 0.16 and Δm⊙²/Δm⊕² ~ 0.19 with tan β = 45, which are in agreement with the current neutrino oscillation data.