  Embedded diagrams are drawn for investigating the black hole of Kerr and
non-Kerr metric. Kerr black holes are characterized by masses $M$ and spin
parameters $a$. Non-Kerr black holes also are characterized by the deformation
parameters $\epsilon$, which is related to shape of the black hole, in addition
to their masses and spins. In this paper, we investigate the behavior of
non-Kerr black holes compared with Kerr black holes in the parameter space of
($a$,$\epsilon$) using embedded diagrams. The event horizons and the naked
singularity of non-Kerr BHs are discussed in detail.
