************************************************************************* 61080 We have observed the Galactic Center region with ASCA, and got many fruitful results. The region around (l,b)=(359,-1) is the special region where many high-energy phenomena are known, but not observed with ASCA. In this region, there are peculiar radio non-thermal structure "the Mouse", two X-ray bursters SLX 1744-299/300, and shell- type SNR G359.0-0.9. Our goal is solving each physics of them on the viewpoint of high energy phenomena, and then finding the phenomena or laws which can be applied to the whole Galactic Center region. Especially, our first objective is detecting the hard X-ray emission corresponding to the Mouse, solving the emission mechanism and its origin. *************************************************************************