Using a conventional solid-state reaction, followed by sintering at 1080 degrees C-1200 degrees C Li-2(Zn-1-(x)A(x))Ti3O8 (A=Mg, Co and x=0.02-0.1) ceramic system with > 96% density were prepared. The XRD patterns of the sintered samples revealed single-phase formation with a cubic crystal symmetry. The molecular volume shows good linear relationship with x value. The microwave dielectric properties of Li-2(Zn-1-(x)A(x))Ti3O8 ceramics exhibited a significant dependence on the x value and to some extent on the morphology of the specimens. The Li-2(Zn0.94Mg0.06)Ti3O8 ceramics possess epsilon(r)=26.1, Q x f=150 000GHz, and tau(f)=-13.9ppm/degrees C, and Li2(Zn0.92Co0.08)Ti3O8 ceramics show epsilon(r)=24.7, Q x f=140 000 GHz, and tau(f)=-13.4ppm/degrees C, respectively. It indicates a substantial increase in the Q x f in comparison with that of pure Li2ZnTi3O8. The microwave dielectric properties of these partially substituted ceramics are reported for the first time.