The transverse momentum (pT) spectra of inclusively produced +cbaryons are measured via the exclusive decay channel +c→pK−π+using the CMS detector at the LHC. Spectra are measured as a function of transverse momentum in proton-proton (pp) and lead-lead (PbPb) collisions at a nucleon-nucleon center-of-mass energy of 5.02 TeV. The measurement is performed within the +crapidity interval |y| <1in the pTrange of 5–20 GeV/cin pp and 10–20 GeV/cin PbPb collisions. The observed yields of +cfor pTof 10–20 GeV/csuggest a suppression in central PbPb collisions compared to ppcollisions scaled by the number of nucleon-nucleon (NN) interactions. The +c/D0production ratio in pp collisions is compared to theoretical models. In PbPb collisions, this ratio is consistent with the result from pp collisions in their common pTrange.