Based on the scenario that aKNN bound state is generated and it eventually decays into Λp, we calculate the cross section of the K −3 He → Λpn reaction, which was recently measured in the J-PARC E15 experiment. We find that the behavior of the calculated differential cross section d 2 σ/dM Λp dq Λp , where M Λp and q Λp are the Λp invariant mass and momentum transfer in the (K − , n) reaction in the laboratory frame, respectively, is consistent with the experiment. Furthermore, we can reproduce almost quantitatively the experimental data of the Λp invariant mass spectrum in the momentum transfer window 350 MeV/c < q Λp < 650 MeV/c. These facts strongly suggest that theKNN bound state was indeed generated in the J-PARC E15 experiment.