High transparency in the visible region is desired to manufacture solar control films and glasses for various applications. To improve the visible light transparency of LaB 6 nanoparticles which exhibit strong absorption in the near-infrared region, the substitution of La with Ca is investigated using firstprinciples calculations. Among the numerous atomic replacement configurations in Ca x La 1−x B 6 , all 762 structures existing in the supercells that are up to 8 times the primitive cell are comprehensively evaluated, and the most stable ground structures in Ca x La 1−x B 6 are deduced. The optical properties of the ground structures are derived by performing high-precision calculations using the HSE06 functional, which reveal that Ca x La 1−x B 6 with 0 < x < 1/4 is preferred as a solar shielding material with improved visible transparency. This method is effective for the investigation of the effect of substitutional elements in composite compounds on their physical properties.