A study has been undertaken to verify the feasibility of using powder-bed fusion additive manufacturing to fabricate Ti-5Al, Ti-6Al-7Nb, and Ti-22Al-25Nb alloys from elemental powders. Selective Laser Melting was used to produce bulk samples from mechanical mixtures of elemental powders for Ti-5Al, Ti-6Al-7Nb, and Ti-22Al-25Nb alloys. For Ti-Al-Nb system, annealing was carried out at 1050–1350 °C for 1–3,5 h followed by furnace cooling. The systematic characterization of the samples was done using scanning electron microscopy (SEM), optical microscopy (OM), X-ray diffraction (XRD), energy dispersive X-ray spectroscopy (EDX), and tensile testing. It was shown that using elemental powders it is possible to synthesize titanium alloys by Selective Laser Melting. In case of Ti-5Al, powder-bed fusion of powders resulted in a homogeneous microstructure, while for Ti-6Al-7Nb and Ti-22Al-25Nb a subsequent heat treatment at 1350 °C temperature is required to fully dissolve niobium particles. Display omitted •Titanium alloys were synthesized from elemental powders by additive manufacturing.•Microstructure and tensile properties of obtained alloys were studied.•Proper heat treatment needed for Nb diffusion in Ti-Al-Nb system.•Ti-22Al-25Nb alloy is prone to cracking during SLM.