Direct-drive spherical implosions can be used to access high-energy-density plasma conditions for Inertial Confinement Fusion (ICF). In this paper, the effects of carbon impurity due to ICF capsule compression by a laser pulse on the process of $D/^{3}He$ thermonuclear plasma burning are studied in an ICF cycle. The effect of carbon impurity concentrations on the effective ignition parameters, the plasma heating rate caused by energy deposition of reaction products, and energy loss rates in the process of burning plasma have also been analyzed in the ICF process. The results obtained show that during the ICF spherical implosions of the $D/^{3}He$ fuel, the ignition temperature, $T_{(ig)}$, and the confinement parameter, $\rho R$, in the hot spot are approximately equal to 58 keV and $5g/cm^{2}$, respectively. These values are increased by the presence of impurity.
