Various high quality microwave dielectric composite compositions are prepared by replacing a part of Ba, La or Ti with another element in a dielectric material represented by Ba_nLa₄Ti_3+nO_12+3n. A first embodiment thereof comprises a ceramic composition represented by (Ba_1-xA_x)_nLa₄Ti_3+nO_12+3n, wherein A is an alkaline earth metal element except Ba, and 0.5n5 and 0x0.5, which is a composite composition being homologous as the former dielectric material and having a chemical formula obtained by replacing a part of Ba with an alkaline earth metal element except Ba. Similarly, a part of La and a part of Ti can be replaced with a rare earth element except La and an element except Ti, respectively. The above various microwave dielectric composite compositions can be used for adjusting microwave dielectric characteristics of a material through replacing a part of a constituent element with another element and thus increasing the variety of the material for a dielectric resonator.