  We study the crystal base $\mathsf{B}(\infty)$ associated with the negative
part of the quantum group for finite simple Lie algebras of types $E_6$ and
$E_7$. We present an explicit description of $\mathsf{B}(\infty)$ as the image
of a Kashiwara embedding that is in natural correspondence with the tableau
description of $\mathsf{B}(\infty)$.
