************************************************************************* 71135 We intend to aim for a complete ASCA observations of a hard X-ray flux- limited sample. In addition to 31 Piccinotti AGNs, almost all of which have already been observed by ASCA, we define a sample of 21 additional AGNs from the deeper MC-LASS catalog in a selected region. Among them 14 have already observed by ASCA and we propose to observe the remaining 7 AGNs. With the complete ASCA measurements of such a well- defined complete sample, we obtain key constraints on the population synthesis models of the cosmic X-ray background and unified scheme of AGNs through, e.g. absorption distribution and Luminosity-absorption correlation. *************************************************************************