Functionally Graded Materials (FGM) parts are heterogeneous objects with material composition and microstructure that change gradually into the parts. The distinctive feature of FGM structure gives the possibility of selecting the distribution of properties - mechanical, physical, chemical, etc. - to achieve the desired functions. It is the reason why aeronautical and biomedical industries are particularly concerned by developments of these materials. Innovative processes like additive manufacturing processes are indispensable to manufacture complex FGM parts. Nowadays, with these processes, customized homogeneous parts are manufactured from digital data. Although these processes seem adapted to produce these parts, the manufacturing of heterogeneous parts is limited to samples: parts are not functional, with simple morphology and simple material distribution. To move from these samples to functional parts a methodology with a global approach is necessary. This methodology must enable to move from the concept imagined by a designer to the manufacturing of the part. The following steps must be included in the methodology: description of the part, determination of an appropriate manufacturing strategy and generation of process instructions. The step of determination of an appropriate manufacturing strategy is decisive to ensure the fabrication of a part in compliance with the desired geometry and the desired material distribution. Thesis work concern the methods defined to determine appropriate tool paths for additive manufacturing of FGM parts. These methods are based on a process modelling necessary for the evaluation of manufacturing strategies and a process control to reduce the difference between the desired material distribution and the material distribution in the manufactured part. One of the proposed methods enables to generate new kind of path strategy. With this method, tool paths will be automatically generated taking into account the process modelling. This work is integrated into methodology for manufacturing FGM parts. Moreover, a procedure has been developed to highlight the potential use of this methodology.