We report the structure and the elementary physical properties of Ca₃Ir₄Ge₄. This compound crystallizes in the cubic, noncentrosymmetric Na₃Pt₄Ge₄ structure type with the space group I¯43m and the unit cell dimension a=7.56895(4) Å. We find that Ca₃Ir₄Ge₄ is a superconductor with a critical temperature of T_c≈1.8 K. The bulk character of the superconducting state is evidenced by the occurrence of a well developed discontinuity in the specific heat at T_c with ΔC/T_c≈38 mJ mol⁻¹ K⁻². Well above T_c, the compound is a weakly paramagnetic metal with Fermi liquid behavior. The low-temperature specific-heat and resistivity measurements reveal a Kadowaki-Woods ratio comparable to that of heavy fermion materials. Furthermore, the magnetization measurements show a Stoner enhancement factor of 0.57. These findings are indicators for significant electron-electron correlation in this compound.