We address a recent controversy concerning the magnetic state of holmium adatom on platinum surface. Within a combination of the density functional theory (DFT) with the exact diagonalization (ED) of Anderson impurity model, the < J(Z)>=0 paramagnetic ground state | J= 8, J(z)=+/- 8> is found. In an external magnetic field, this state is transformed to a spin-polarized state with < J(z)>approximate to 6.7. We emphasize the role of 5d-4f interorbital exchange polarization in modification of the 4f shell energy spectrum.