  In this paper, we investigate cyclic codes over the ring $
\mathbb{F}_p[u,v,w]\langle u^2,$ $v^2, w^2$, $uv-vu, vw-wv, uw-wu \rangle$,
where $p$ is a prime number. Which is a part of family of Frobenius rings. We
find a unique set of generators for these codes and characterize the free
cyclic codes. We also study the rank and the Hamming distance of these codes.
We also constructs some good $p-ary$ codes as the Gray images of these cyclic
codes.
