A subgroup $X$ of‎ ‎a group $G$ is said to be an H-‎subgroup if‎ ‎N_G(X) ∩ X^g≤ X for each element $g$ belonging to $G$‎. ‎In [M‎. ‎Bianchi and e.a.‎, ‎On finite soluble groups in which normality is a transitive relation‎, J‎. ‎Group Theory, <strong>‎ 3</strong> (2000) 147--156.] the authors showed that finite groups in which every subgroup has the H‎-‎property are exactly soluble groups in which normality is a transitive relation‎. ‎Here we extend this characterization to groups without simple sections‎....