Number of recent observation of the distant geomagnetic field with the aid of artificial satellites, have given us new knowledges on the gross character of magnetosphere and its neighbouring region, for example, the characteristics of shock front, magnetopause and magnetic tail. There are, of course, many problems still unknown on the physical nature of earth's environmental space. The fluctuation of magnetic field, would be one of these problems, especially in relation with the field fluctuation on the earth's surface, since it has not yet studied so far as systematically as the field configuration itself, except some partial findings of characteristic fluctuations. Even on the problem, much more accessible for us, as to the electric current in the ionosphere, main effort devoted so far, limited on the study of its altitude distribution, and few experimental work deal with the physical mechamism of ionospheic current. These problems mentioned above are reviewed in this paper in section 2 and 3 on those in the distant region and in the ionosphere respectively, and a proposal of magnetic measurement of three components are briefly given in section 4.