Equilibrium reconstruction is the essential diagnostic tool for determining the magnetic field and current density of a tokamak discharge. This method parametrizes the unknown current profile with a suitable set of test functions and determines the coefficients from measurements. For steady state discharges, a continuous equilibrium analysis is required. The purpose of the Tore Supra CIEL project is the study of discharges with duration up to 1000 s. We report on the development of a real-time version of the widely used equilibrium code EFIT.