The spectra of circularly polarized luminescence of the paramagnetic garnets $\sf\small Y_3Al_5O$12:Tb3+ and $\sf\small Y_3Al_5O$12:Ho3+ in magnetic field have been studied experimentally in the visible range of wavelength for the 5D4̊→ 7F5 transition of the Tb3+ ions and for the 5S2→ 5I8 transition of the Ho3+ ions. A great difference has been found in the intensities of orthogonal circularly polarized components for a number of luminescence lines. The findings are explained by a mechanism of mixing of electronic states of the Tb3+ and Ho3+ ions in the matrix of the $\sf\small Y_3Al_5O$12 garnet in an external magnetic field. The results of numerical calculations of the energy spectra of the 7F53+ ions in a crystalline field of D2 symmetry are presented.