****************************************************** PR # 11189 The origin of the Cosmic X-ray Background (CXB) has still remained an astrophysical puzzle. Now the most of the CXB flux is thought to orig inate from the distant faint objects in the Universe. The CXB spectra in 2-30 keV is, however, flatter than that of majority of the known sources, and cannot be explained without unknown harder emission of the faint objects. The previous deepest surveys was ineffective above 3 keV, so that they could not exactly resolve this puzzle. The ASCA opens the way observationally to research the origin of the hard emission of the faint objects up to 1E-14 erg cmE-2 sE-1 (2-10 keV), which is comparable with the limit of the previous deep survey below 3keV.We would propose the deep sky survey on the ASCA detection limit in the Selected Area 57. ******************************************************