This article analyses the influence of tool orientation on the geometry and surface finish obtained during the machining of thin-walled curved freeform surface parts on multitasking machining centre. These complex surfaces parts have direct application in blade manufacturing for the aeronautical sector, which has very high quality standards and are difficult to achieve. In addition, the material used is Ti6Al4V which adds a challenge due to its difficult machinability. Tool orientation has a significant effect on the accuracy of multi-axis machining reducing the theoretical force in a 6.17 % have achieved a dimensional improvement of a 7.84 %.