In this work, we have systematically performed structure searching for Sr-Ge system under pressure up to 200 GPa and found six stable stoichiometries as Sr3Ge, Sr2Ge, SrGe, SrGe2, SrGe3 and SrGe4. We demonstrated the interesting structure evolution behaviors in Sr-Ge system with increased germanium content, the Ge atoms arranging from isolated anions in Sr3Ge, chains in Sr2Ge, square units in SrGe, trigonal units and hexahedrons in SrGe2, cages in SrGe3, hexagons and Ge8 rings in SrGe4. The structural diversity produces various manifestations of electronic structures, which are benefit for electrical transportation. Among them, these novel phases with metallic structures show superconductivity (maximum T
c ~ 8.94 K for Pmmn Sr3Ge). Notably, the n-type semiconducting Pnma SrGe2 structure exhibits high Seebeck coefficient and excellent electrical conductivity along y direction, leading to a high ZT value up to 1.55 at 500 K, which can be potential candidates as high-performance thermoelectrics. Our results would enable the development of fundamental science in condensed matter physics and potential applications in novel electronics or thermoelectric materials.