  We investigate the abundance of $^{19}F$ in the Sun through the
nucleosynthesis scenario. In addition, we calculate the rate equations and
reaction rates of the nucleosynthesis of $^{19}F$ at different temperature
scale. Other important functions of this nucleosynthesis (nuclear partition
function and statistical equilibrium conditions) are also obtained. The
resulting stability of $^{19}F$ occurs at nucleus with A = 19 and Mass Excess=
-1.4874 MeV. As a result, this will tend to a series of neutron captures and
beta-decay until $^{19}F$ is produced. The reaction rate of $^{15}N$ ($\alpha$,
$\gamma$) $^{19}F$ was dominated by the contribution of three low-energy
resonances, which enhanced the final $^{19}F$ abundance in the envelope.
