The effectiveness of substitution for La by Ba or Ca on the physical properties of rare earth chalcogenide La
3S
4 was examined. Cubic γ -phase (Th
3P
4-type) was obtained in the range of 0≤x≤1 in La
3-xA
xS
4 (A=Ba, Ca). The lattice parameter in La
3-xBa
xS
4 system increased, while that in La
3-xCa
xS
4 system decreased with an increase of x, which is ascribed to the difference of the radius among the ions. The thermoelectric power (α) and the electrical resistivity (ρ) of La
3-xA
xS
4, which are functions of the electron concentration, increased with an increase of the temperature and the alkaline earth metal content x. A maximum value of the power factor (p=α
2/ρ) at high temperature above 750K was obtained at x=0, i.e., La
3S
4. On the other hand, the thermal conductivity (κ) decreased with an increases of x. In result, a maximum value of the figure of merit (Z=α
2/(ρκ)) was obtained at large value of x (x≈0.6 in La
3-x, Ba
xS
4 and x≈0.8 in La
3-xCa
xS
4).
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