Disclosed is a dielectric ceramic material having a chemical composition represented by the formula Sr(Ni.sub.1/3 Nb.sub.2/3)O.sub.3 or (1-x)Sr(Ni.sub.1/3 Nb.sub.2/3)O.sub.3.xBaTiO.sub.3 in which x is a positive number of up to 0.3 and also having a perovskite structure. This dielectric material has a small dielectric loss and a large dielectric constant, and the temperature coefficient of the resonance frequency can be controlled to a small value within a certain range. The dielectric ceramic material is valuably used for microwave dielectric ceramics.