The Li$_2SO_4$ system containing various mol${\%}$ of CaSO$_4$ were synthesized. The structure and the electrical conduction of these system were studied at the temperature from 20 to 700$^{circ}C$. In the region of CaSO$_4$ mol ratio higher than 0.05, it could be confirmed that Li$_2SO_4-CaSO_4$ system does not form solid solution. Due to the substituted Ca$^{2+}$, the transition temperature (monoclinic to cubic) is shifted to the low temperature. The ionic conduction of monoclinic Li$_2SO_4-CaSO_4$ increased with increasing lithium vacancy which was produced by substituted Ca$^{2+}$, but that fcc Li$_2SO_4-CaSO_4$ was not influenced by the substituted Ca$^{2+}$ ion.