The structural and magnetic properties are discussed on the TDAE-fullerene system for C-60 and C-70. The single crystal structural analysis reveals that the TDAE-C-70 system contains solvent molecules (toluene), and the C-70 molecules in the unit cell axe dimerized. The room temperature structure is monoclinic P2(1)/n, and crystal parameters are a=18.82(3)Angstrom, b=16.38(2)Angstrom, c=18.73(3)Angstrom and beta = 117.58(5)degrees. The same annealing procedure used in TDAE-C-60 does not alter the magnetic behavior in TDAE-C-70. A preliminary report is given for the TDAE-C-60 structural study in magnetic fields up to 7 T. The possible method that directly reveals the relation between magnetism and the molecular arrangement is proposed.