[en] Recently, the authors have established a DSF theoretical method suitable for researching molecular magnetism of the compounds consisting of transition group elements. By this method, the authors have revealed that the ferromagnetism of molecules is due to the cross-interaction between d orbitals of adjacent transition-metal ions, and that the antiferromagnetism is due to the parallel interactions. Further more, the authors have also established a magnetism theory for hetero-dinuclear molecular systems and covalent molecular systems, respectively. With these theoretical methods, a systematical studies are performed for the magnetism origin and the magnetism variation rule of transition metal complex molecules in various inorganic compounds, organic compounds and biologic proteins, and a reasonable explanation is presented for the strong antiferromagnetic coupling phenomenon in the catalysis active center of ribonucleotide reductase. This indicates that the main physical mechanisms are the combined effect of the direct-exchange, kinetic exchange and the molecular covalent property