The invention discloses a material for making electrically-functional strontium barium niobate ceramic by laser and a method thereof. The material consists of barium carbonate, strontium carbonate and titanium dioxide which are compounded according to a molar ratio of (1-x) to x to 1, wherein the x represents a molar mass fraction, and the x is more than 0 or less than 1; the used material is subject to mixture, ball milling, plasticization, granulation, green compaction and evacuation and sintering by CO2 laser, so as to be made into the electrically-functional strontium barium niobate ceramic. The material is low in cost, the laser sintering method consumes less energy, the sintering time is short, and the electrically-functional strontium barium niobate ceramic made by the laser sintering has the advantages of little crystal grain, small porosity, high tightness, high reliability, safety, electricity conservation, etc. In addition, strontium barium niobate is a sosoloid totally combining the barium carbonate and the strontium carbonate, the continuous solid solubility of the strontium barium niobate makes dielectric and optical performances of the ceramic adjusted continuously under the condition that the quantity relative ration between Ba and Sr is in a range of between 0 and 1; meanwhile, the electrically-functional ceramic with a big dielectric coefficient and less dielectric loss can be obtained through adjusting the ration between the Ba and the Sr.