Delft Aerospace Rocket Engineering has developed a 1 kN hybrid rocket motor, using Nitrous Oxide as oxidizer and a mixture of Sorbitol and Paraffin as fuel. During the campaign, different motor configurations were tested. The thesis starts with the numerical simulation of the rocket motor firing in the different tests, modelling the discharge of self-pressurized Nitrous Oxide. The simulation provides the trend over time of motor parameters such as mass flow rates, vapor quality of the oxidizer, and fuel grain thickness. Once validated through comparison with the test data, these values have been used to setup CFD simulations of the combustion chamber. An instant of the burning is simulated in steady state conditions using the eddy dissipation combustion model, gaseous injection of the fuel and no entrainment of liquefying paraffin with the oxidizer flow. The oxidizer is injected in both liquid and gas phase using the results of the numerical simulations to initialize the boundary conditions. The results are compared with the numerical data, the experimental data and the values predicted by the theory, to show the improvements that CFD simulations can provide to the designer during the development of a new hybrid rocket motor.