We report measurements of charmed-hadron (D0,D∗) production cross sections at midrapidity in p+p collisions at a center-of-mass energy of 200 GeV by the STAR experiment. Charmed hadrons were reconstructed via the hadronic decays D0→K−π+, D*+→D0π+→K−π+π+ and their charge conjugates, covering the pT range of 0.6–2.0 and 2.0–6.0  GeV/c for D0 and D*+, respectively. From this analysis, the charm-pair production cross section at midrapidity is dσ/dy|cc¯y=0=170±45(stat)+38−59(sys)  μb. The extracted charm-pair cross section is compared to perturbative QCD calculations. The transverse momentum differential cross section is found to be consistent with the upper bound of a fixed-order next-to-leading logarithm calculation.