  A detailed analysis of the nonthermal X-ray emission from the North-Western
and Southern parts of the supernova remnant (SNR) HESS J1731$ - $347 with {\it
Suzaku} is presented. The shell portions covered by the observations emit hard
and line-less X-rays. The spectrum can be reproduced by a simple absorbed
power-law model with a photon index $\Gamma$ of 1.8-2.7 and an absorption
column density $N_{\rm H}$ of (1.0-2.1)$\times 10^{22}$ cm$^{-2}$. These
quantities change significantly from region to region; the North-Western part
of the SNR has the hardest and most absorbed spectrum. The Western part of the
X-ray shell has a smaller curvature than North-Western and Southern shell
segments. A comparison of the X-ray morphology to the Very High Energy (VHE)
gamma-ray and radio images was performed. The efficiency of electron
acceleration and emission mechanism in each portion of the shell are discussed.
Thermal X-ray emission from the SNR was searched for but could not be detected
at a significant level.
