This article is interested in the interface between internationally supported peace operations and local approaches to peace that may draw on traditional, indigenous and customary practice. It argues that peace (and security, development and reconstruction) in societies emerging from violent conflict tends to be a hybrid between the external and the local. The article conceptualizes how this hybrid or composite peace is constructed and maintained. It proposes a four-part conceptual model to help visualize the interplay that leads to hybridized forms of peace. Hybrid peace is the result of the interplay of the following: the compliance powers of liberal peace agents, networks and structures; the incentivizing powers of liberal peace agents, networks and structures; the ability of local actors to resist, ignore or adapt liberal peace interventions; and the ability of local actors, networks and structures to present and maintain alternative forms of peacemaking.