Criteria for the possible number of exciton surface states in a multil
ayer molecular slab are elucidated in detail. Namely, we explicitly de
termine the domains of system parameters where the size dependence pla
ys a role. We further clarify the way a surface state is localized in
the slab in both asymmetric and symmetric configurations. Basing on ou
r results which are obtained within the first nearest layer approximat
ion, we also conjecture properties to be expected when further nearest
layers are taken into consideration.