The self-assembly of synthetic diblock copolymers has been extensively studied experimentally and theoretically. In contrast, self-assembly of polypeptide diblock copolymers has so far been mostly studied experimentally. We discovered that the theory developed for synthetic diblock copolymer does not fully explain the self-assembly of elastin-like polypeptide diblock copolymers, leading us to generalize the theory to make it applicable for these polypeptides. We demonstrated that elastin-like polypeptide diblocks self-assemble into weak micelles with dense cores and almost unstretched coronas, a state not previously observed for synthetic diblock copolymers. Weak micelles form if the surface tension at the core corona interface is low compared to that expected of a micelle with a dense core. The predictions of the theory of weak micelles for the critical micelle temperature, hydrodynamic radius, and aggregation number of elastin-like polypeptide diblocks are in reasonable agreement with the experimentally measured values. The unique and unprecedented control of amphiphilicity in these recombinant peptide polymers reveals a new micellar state that has not been previously observed in synthetic diblock copolymer systems.