  We present our $AstroSat$ soft X-ray observations of a compact binary system,
AR Sco, and analysis of its X-ray observations with $Chandra$ that were taken
only about a week before the $AstroSat$ observations. An analysis of the soft
X-ray ($0.3-2.0$ keV) data limits the modulation of the spin, orbital, or beat
periods to less than 0.03 counts s$^{-1}$ or $<$10\% of the average count rate.
The X-ray flux obtained from both observatories is found to be almost identical
(within a few percent) in flux, and about 30\% lower than reported from the
nine months older observations with $XMM-Newton$. A two-temperature thermal
plasma model with the same spectral parameters fit $Chandra$ and $AstroSat$
data very well, and requires very little absorption in the line of sight to the
source. The low-temperature component has the same temperature ($\sim$1 keV) as
reported earlier, but the high-temperature component has a lower temperature of
5.0$^{+0.8}_{-0.7}$ keV as compared to 8.0 keV measured earlier, however, the
difference is not statistically significant.
