The Dalitz plot slope parameters g, h and k for the K − → π 0 π 0 π − decay have been measured using in-flight decays detected with the ISTRA+ setup operating in the 25 GeV negative secondary beam of the U-70 PS. About 252 K events with four-momenta measured for the π − and four involved photons were used for the analysis. The values obtained g = 0.627 ± 0.004(stat) ± 0.010(syst), h = 0.046 ± 0.004(stat) ± 0.012(syst), k = 0.001 ± 0.001(stat) ± 0.002(syst) are consistent with the world averages dominated by K + data, but have significantly smaller errors.