The last years have witnessed an enormous interest in the use of artificial intelligence methods, especially machine learning algorithms. This also has a major impact on aerospace engineering in general, and the design and operation of liquid rocket engines in particular, and research in this area is growing rapidly. The paper describes current machine learning applications at the DLR Institute of Space Propulsion. Not only applications in the field of modeling are presented, but also convincing results that prove the capabilities of machine learning methods for control and condition monitoring are described in detail. Furthermore, the advantages and disadvantages of the presented methods as well as current and future research directions are discussed.Recent research and development activities at the DLR Institute of Space Propulsion prove the feasibility of such methods for supporting the design and operation of liquid rocket engines. So far, NNs are used for the prediction of heat transfer in rocket engine cooling channels and fatigue life estimation. Other applications include the automatic discovery of suitable precursors to combustion instabilities and optimal control of the engines.