The dynamical earthquake model of Burridge and Halliday (1971) is embedded in a completely relaxing viscoelastic solid half space with high viscosity. In this way, Budiansky and Amazigo's (1976) long-term creep mechanism for earthquake repetition is combined with a tractable dynamical model of the earthquakes themselves to complete a picture of long-term stick-slip on a seismic fault. A simple periodic solution is obtained in which all earthquakes are identical. The stability of this periodic behavior and the questions of whether and how this state is approached from an arbitrary initial state are left unresolved.