The semi-presidential system, also known as the presidential-parliamentary system, or premier-presidential system, is a system of government in which a president and a prime minister are both active participants in the day-to-day administration of the state. It differs from a parliamentary republic in that it has a popularly elected head of state who is more than a purely ceremonial figurehead, and from the presidential system in that the cabinet, although named by the president, is responsible to the legislature, which may force the cabinet to resign through a motion of no confidence.

The term was first coined in a 1978 work by political scientist Maurice Duverger to describe the French Fifth Republic, which he dubbed a régime semi-présidentiel.