A container comprising a rigid body (5) having a neck (6) defining an aperture providing access to the container cavity and a bag (9) positioned in the interior of the body (5), the bag being formed of thermoplastic material and itself having a neck (2) from which there radially extends a flange (3) which rests on a free edge of the neck (6) of the body (5) and defines a hole for providing access to the cavity of the bag (9) and for sealedly housing the body of a hermetic pump (P) operable manually to withdraw the fluid substance (F) from the bag and feed it to the outside through its dispensing stem (S), the bag being formed by hot blow molding of a preform placed directly within the container, said bag having a substantially uniform thickness and being detached from the container along its entire outer surface.