In this work, a silicon-on-insulator (SOI) metal-oxide-silicon field-effect transistor (MOSFET) model for circuit simulation is reported, which covers also the floating-body effect induced by the additional charge generated through impact ionization. The model is based on the complete surface-potential description and solves the Poisson equation with inclusion of the impact ionization. The developed compact SOI-MOSFET model is verified to reproduce two-dimensional-device simulation results very well, and shows the characteristic potential increase at the back side of the SOI layer. The steep drain-current (I ds ) increase at high drain-voltages (V ds ), caused by the floating-body effect, is also accurately captured.