The Advanced Satellite for Cosmology and Astrophysics (ASCA) has made multi
ple observations of the Small Magellanic Cloud (SMC). X-ray mosaic images i
n the soft (0.7-2.0 keV) and hard (2.0-7.0 keV) bands are separately constr
ucted, and the latter provides the first hard X-ray view of the SMC. We ext
ract 39 sources from the two-band images with a criterion of S/N > 5 and co
nduct timing and spectral analyses for all of these sources. Coherent pulsa
tions are detected from 12 X-ray sources, five of which are new discoveries
. Most of the 12 X-ray pulsars are found to exhibit long-term flux variabil
ities; hence they are likely to be X-ray binary pulsars (XBPs). On the othe
r hand, we classify four supernova remnants (SNRs) as thermal SNRs, because
their spectra exhibit emission lines from highly ionized atoms. We find th
at XBPs and thermal SNRs in the SMC can be clearly separated by their hardn
ess ratio (the ratio of the count rate between the hard and soft bands). Us
ing this empirical grouping, we find many XBP candidates in the SMC, althou
gh no pulsations have yet been detected from these sources. Possible implic
ations on the star formation history and evolution of the SMC are presented
by a comparison of the source populations in the SMC and our Galaxy.