OSPF (Open Shortest Path First) supports several network types, including Point-to-Point, Broadcast, Non-Broadcast Multi-Access (NBMA), and Point-to-Multipoint. Point-to-Point networks are used for direct connection between two routers. Broadcast networks allow all routers to communicate directly with each other. Non-Broadcast Multi-Access networks support multiple routers but do not support broadcasting. Point-to-Multipoint networks allow one router to communicate with multiple routers over a single interface.