To be able to provide an accurate estimate of the effective torque, friction losses must be modeled. The details of a model that predicts the total instantaneous friction torque for compression ignition engines are described. The model is based on a combination between the dynamic model of the crankshaft and the thermodynamic model. The total instantaneous friction torque is determined, via the instantaneous measurements or numerical predictions of the gas pressure in the combustion chamber, the speed of rotation of the crankshaft and load torque. The comparison between the experimental data and the results of the numerical simulation shows a good agreement.