  We present a new method of formulating the classical theory of $SU(N+1)$
non-Abelian Chern-Simons (NACS) particles for arbitrary $N\geq 1$ using the
symplectic reduction of $CP(N)$ manifold from $S^{2N+1}$. Quantizing the theory
using BRST formulation and coherent state path integral method , we obtain a
quantum mechanical model for $SU(N+1)$ NACS particles.
