[en] The production of neutral kaons in K^-p interactions at 32 GeV/c is studied in terms of one, two and three particle inclusive reactions. The inclusive and topological cross sections are estimated and compared with published results at lower energies. The analysis of the single particle invariant differential cross section of K⁰ mesons, shows that it continues to decrease with increasing energy in both fragmentation regions. Correlations between kinematical variables in the K⁰K⁰ and K⁰Λ pairs are studied, no strong short range correlations are observed in the azimuthal plane