The electronic, magnetic and orbital structures of KCrF 3 are determined in all its recently identified crystallographic phases ͑cubic, tetragonal, and monoclinic͒ with a set of ab initio local spin density approximation ͑LSDA͒ and LSDA+ U calculations. The high-temperature undistorted cubic phase appears as a metal from LSDA, but it is a Mott insulator with a gap of 1.72 eV at the LSDA+ U level. The tetragonal and monoclinic phases of KCrF 3 exhibit cooperative Jahn-Teller distortions concomitant with staggered 3x 2 − r 2 / 3y 2 − r 2 orbital order. We find that the energy gains due to the Jahn-Teller distortion are 82 and 104 meV per chromium ion in the tetragonal and monoclinic phases, respectively. These phases show A-type magnetic ordering and have a band gap of 2.48 eV. In this Mott insulating state, KCrF 3 has a substantial conduction bandwidth leading to the possibility for the kinetic energy of charge carriers in electron-or hole-doped derivatives of KCrF 3 to overcome the polaron localization at low temperatures, in analogy with the situation encountered in the colossal magnetoresistive manganites.