We have succeeded in crystallizing a new strontium digermanide (SrGe2-(delta)) with the ThSi2-type structure (tetragonal SrGe2), which is theoretically predicted to compete with the EuGe2-type one (trigonal SrGe2) under pressure. The tetragonal SrGe2 appeared as a metastable phase in samples at approximately 900 degrees C under a pressure of 2 GPa. X-ray diffraction studies show that the tetragonal SrGe2 is formed by the reaction between trigonal SrGe2 and excess Sr. The composition of the tetragonal SrGe2 was analyzed to be SrGe1.66(4). Lattice parameters for the tetragonal SrGe2 are determined to be a = 4.559(4) angstrom and c = 14.42(1) angstrom. The tetragonal SrGe2 shows metallic resistivity behavior and exhibits superconductivity with a critical temperature (T-c) of 7.3 K, which is the highest among compounds with the ThSi2-type structure. Superconducting properties of the tetragonal SrGe2, such as the upper critical field, and the effect of pressure on T-c, are presented and superconductivity is discussed on the basis of electronic band structure calculations.