  We summarise the phenomenology of the Higgs sector of the minimal $B-L$
extension of the Standard Model at an $e^+e^-$ Linear Collider. Within such a
scenario, we show that (in comparison with the Large Hadron Collider) several
novel production and decay channels involving the two physical Higgs states
could experimentally be accessed at such a machine. In particular, we present
the scope of the $Z'$ strahlung process for single and double Higgs production,
the only suitable mechanism for accessing an almost decoupled heavy scalar
state.
