The production of charm mesons D('*) and D and their subsequent decays D('*+) (--->) D('0)(pi)('+) and D('0) (--->) K('-)(pi)('+) have been observed in proton-proton interactions at the CERN Intersecting Storage Rings. Using published data for inclusive K('-) and p production cross sections as normalization, the D('*+) production cross section is estimated. For a model with the D('*+) produced with a Feynman-x (x(,F)) distribution of the form (1-x(,F))('2) and a transverse momentum distribution of the form P(,t)*exp(-P(,t)('2)), the D('*('+)) production cross section is estimated to be 23.5 (+OR-) 8.4 (mu)b;This measurement is approximately the same as measurements by other experiments of charm meson production at lower energies. Two other experiments have measured the D('0) production cross section at our energy, and obtained a result more than ten times higher than ours. Thus, our measurement provides a possible resolution to what had been an unclear situation in regard to the energy dependence of charm production; ('1)DOE Report IS-T-1145. This work was performed under crontract No. W-7405-Eng-82 with the U.S. Department of Energy.