  In this paper we establish the stability of Jensen's functional equation on
some classes of groups. We prove that Jensen equation is stable on
noncommutative groups such as metabelian groups and $T(2, K)$, where $K$ is an
arbitrary commutative field with characteristic different from two. We also
prove that any group $A$ can be embedded into some group $G$ such that the
Jensen functional equation is stable on $G$.
