Résumé : Two independent analyses of the decay mode K+→π+π0π0 (τ′ mode) are presented; the first one only concerns the π+ meson energy spectrum, while the second one is based on τ′ decays for which the kinematics is completely determined. A linear description of the matrix element M=1+a(M K/M π 2 )(2 T +-T max + ) is found to be satisfactory. The value found for a is -0.32±0.02. © 1972 Società Italiana di Fisica.