The charge-exchange reaction K + Xe → K 0 pXe is investigated using the data of the DIANA experiment. The distribution of the pK 0 effective mass shows a prominent enhancement near 1538 MeV formed by nearly 80 events above the background, whose width is consistent with being entirely due to the experimental resolution. Under the selections based on a simulation of K + Xe collisions, the statistical significance of the signal reaches 5.5σ . We interpret this observation as strong evidence for formation of a pentaquark baryon with positive strangeness, + (uudds), in the charge-exchange reaction K + n → K 0 p on a bound neutron. The mass of the + baryon is measured as m( + ) = 1538 ± 2 MeV. Using the ratio between the numbers of resonant and nonresonant charge-exchange events in the peak region, the intrinsic width of this baryon resonance is determined as ( + ) = 0.34 ± 0.10 MeV.