The Turbulent-Fragmentation Model of Star Formation The turbulent nature of the interstellar medium can be viewed as an opportunity to model the global outcome of the star formation process, namely the star formation rate and the stellar initial mass function. I will discuss the observational evidence for the nature and the effect of supersonic turbulence in molecular clouds. I will then present a simple model for the star formation rate and the stellar initial mass function, based on known statistical properties of the turbulence. Model assumptions are based on high resolution simulations, which are themselves tested by a direct comparison with observations.