  A quantum knot model of mesons and baryons is established. This quantum knot
model is derived from a quantum gauge model which is similar to the QCD gauge
model. We first establish a knot model of the $\pi$ mesons. We show that the
$\pi$ mesons are modeled by the prime knot ${\bf4_1}$ (which is assigned with
the prime number 3). We show that the knot model of the $\pi^+$ meson gives the
strong interaction for the formation of the $\pi^+$ meson and the weak decay
$\pi^+ \to \mu^+ +\nu_{\mu}$. We give a mass machanism for the generation of
the masses of the $\pi^0$ meson, $\pi^+$ meson, the muon $\mu^+$ and the muon
neutrino $\nu_{\mu}$. We then extend the knot model to the basic mesons $K^0,
\eta, \rho, \omega, K^*, \eta^{\prime},$ and $\phi$. These mesons are modeled
by the prime knots ${\bf 6_1, 6_2, 6_3, 6_3, 7_1, 7_2, 7_2}$ respectively where
${\bf 6_1, 6_2, 6_3, 7_1, 7_2}$ are assigned with the prime numbers $11, 13,17,
19, 23$ respectively. We then extend the knot model to the basic baryons $p,n,
\Lambda$, $ \Sigma, \Xi$; $\Delta, \Sigma^*, \Xi^*$, $\Omega^-$ and
$\Lambda^*$. We show that these baryons are modeled by the prime knots ${\bf
6_2, 6_2, 7_1, 7_1,7_1}$; ${\bf7_1, 7_1,7_1, 7_2}$ and $ {\bf7_1}$ respectively
where ${\bf 6_2, 7_1, 7_2}$ are assigned with the prime numbers $13, 19, 23$
respectively.
  This knot model gives a unification of the electromagnetic, the weak and the
strong interactions. We show that the existing quark model is as a part of this
knot model.
