In the selective laser melting process, metallic powder beds are successively and locally melted to build dense parts. The parameters used to melt the powder have a strong influence on the melt pool behavior and on the subsequent grain microstructure. The observation of the grains has been possible through the use of electron backscatter diffraction. The present paper aims to show the evolution of the size and the shape of grains with the increase of the energy per surface unit provided by the laser beam for a specific scanning strategy. It is shown that for low energy, the grains are columnar and quite long in regard to the layer thickness. The grain orientation is kept for several layers so that grains grow epitaxially. With the increase of the energy, the grains tend to be quite smaller so that the epitaxial growth does no longer occur. Also the signature of the scanning strategy remains visible. The crystallographic texture is also studied and shows a strong change with the increase of energy.