This paper focuses on studying and simulating a GaAs1-xPx/Si1-yGey/Ge triple-junction solar cell structure. First, the strain and the bandgap energy associated to the SiGe layer have been studied. The optimal germanium concentration is 0.88 with a strain around 0.45%. Then, the phosphor concentration effect on the strain and the bandgap energy of the upper layer GaAs1-xPx/Si0.12Ge0.88 has been optimized. At room temperature, the optimal output parameter reach Jsc=34.41mA/cm2 , Voc=1.27V, FF=88.42% and η=38.45% for an absorber thickness of 4.5µm and x=0.47, with a strain that doesn’t exceed 1.5%. This study has enabled us to design a high-efficiency, low cost 3J solar cell.