The temperature dependences of the thermal conductivity, the specific electrical resistance, the thermo-e.m.f. and the magnetic susceptibility, together with the variation of magnetic resistance and of Hall constant with the magnetic field strength at liquid nitrogen temperature and at room temperature, for the higher borides Mo2B5, MoB4, W2B5 and WB4 were studied. Some features of the physical properties of these metallic borides were established. In contrast with the corresponding metals the higher borides are diamagnetic and the Hall constants are negative. The values of the magnetic susceptibility and the Hall constant are larger for the higher borides than for the low borides. As the temperature increased an inversion of the thermo-e.m.f. sign took place and the signs of the thermo-e.m.f. and the Hall constant are different. The values of the magnetic susceptibility of Mo2B5, MoB4 and WB4 were temperature independent. The electronic structure of the compounds studied is discussed briefly. © 1979.