Living cells exhibit sophisticated functions because they contain numerous endogenous stimuli-responsive molecular systems that independently and cooperatively act in response to an external circumstance. On the other hand, artificial soft materials containing multiple stimuli-responsive molecular systems are still rare. Herein, we demonstrate a unique multicomponent hydrogel composed of a self-sorting double network prepared through a post-assembly fabrication (PAF) protocol. The PAF protocol allowed the construction of a well-ordered hydrogel with a dual-biomolecule response to two important biomolecules (adenosine triphosphate (ATP) and sarcosine). Such a hydrogel could not be prepared through a one-step mixing protocol. The resultant multicomponent hydrogel responded to ATP and sarcosine through gel-sol transition behavior programmed in an AND logic gate fashion. Finally, we applied the multicomponent hydrogel to the controlled release of an antibody.