[en] Inclusive and semi-inclusive distributions of γ quanta and π⁰ mesons are presented and discussed for the K⁺p → γ + X and K⁺p → π⁰ + X reactions at 32 GeV/c. The comparison with inclusive π^- mesons production reveals significantly higher π⁰-mesons cross sections in the regions of low momentum. The total inclusive cross section of π⁰-mesons production increases heavily with energy. The comparison of the data obtained with other experimental results shows that average π⁰-mesons multiplicities are practically equal for K⁺p, K^-p and P^-p interactions at 32 GeV/c. The quark model calculation of particle production through the mechanism of quark fusion for total inclusive cross sections of π⁰ and π^- mesons and for inclusive distributions of π⁰ mesons revealed good conformity of experimental and theoretical data