On the relative intrinsic pseudo distance and the hyperbolic imbedability  Pham Viet Duc and Nguyen Doan Tuan Abstract      In this note we establish a relation between the Kobayashi relative intrinsic pseudo distance of a holomorphic fiber bundle and the one in its base. Moreover, we prove that if $(\tilde Z, \pi , Z)$ is a fiber bundle with compact hyperbolic fiber and $M \subset Z$ with $d_{M,Z}$ induces the given topology on $\bar M$, then $M$ is hyperbolically embedded in $Z$ if and only if $\bar Y= \pi^{-1}(Y)$ is hyperbolically embedded in $\tilde Z$.