A dielectric material based on BaO-RE.sub.2 O.sub.3 -TiO.sub.2 is disclosed, which has a relatively high relative permittivity .epsilon..sub.r, a small absolute value of the temperature coefficient of resonance frequency .tau..sub.f and a high coefficient of unloaded quality Q.sub.u. Processes for producing the dielectric material are also disclosed. The dielectric material comprises 100 parts by weight of main ingredients having a composition represented by xBaO-yRE.sub.2 O.sub.3 -zTiO.sub.2 (wherein RE represents a rare earth element and x+y+z=100) and up to 5 parts by weight of at least one alkali metal oxide. This alkali metal oxide serves to improve .epsilon..sub.r and Q.sub.u without a considerable sacrifice of .tau..sub.f. The RE preferably consists of samarium or a combination of samarium with neodymium and/or lanthanum. In producing the dielectric material, a dense sintered body can be obtained without fail by using a raw material containing hydroxyl groups as a starting material for the rare-earth ingredient among the main ingredients.