This article focuses on production of parts by Selective Laser Melting (SLM) technology, where the prototype part is created by melting metallic powder in selective manner by means of laser – layer by layer. Due to the laser, the model is loaded with high temperatures – the high-temperature stress in the material occurs during the production and consequent cooling, resulting in undesired deformation of component's shape. This deformation may be favourably influenced by appropriate parameter settings of the production process, or by means of annealing performed after the production. This article familiarises its readers with results of research dealing with influence of production process parameter settings on the magnitude of internal material tension of the printed part, or its influence on dimension and shape precision of products manufactured by this additive technology. The produced samples were measured and their shape precision was analysed by a 3D optical digitisation method, allowing comparison of the actual part to a nominal CAD model and therefore perform shape and dimension precisions of the produced prototypes in a complex and objective manner.