• The chemical substitution dependencies of the three power law parameters have very similar behavior. • The minimum n exponent, maximum A coefficient, and ρo residual resistivity are at the same critical concentration x cr , expecting the sign for QCP in a non-Fermi Liquid (nFL) region. • Above x cr , the A values drop abruptly and the n values increase only slightly, indicating a transition from strongly to weakly correlated regime near the critical concentration x cr . We have carried out a detailed study of the (Ce 1 −x Y x ) 2 Ir 3 Ge 5 anti-ferromagnetic compounds across the entire range of substitution 0 ≤ x ≤ 0.33 and report the results of powder X-ray diffraction, magnetic susceptibility, heat capacity, and electrical resistivity measurements to exhibit the anti-ferromagnetic phase temperature ( T N ) versus substitution x phase diagram. The pure Ce 2 Ir 3 Ge 5 system indicates anti-ferromagnetic behavior below T N = 9.5 K. Substitution of Y into (Ce 1 −x Y x ) 2 Ir 3 Ge 5 compound leads to a decrease in the anti-ferromagnetic phase temperature ( T N ). Near x = 0.3, the anti-ferromagnetic transition temperature is suppressed to zero kelvin at an apparent anti-ferromagnetic quantum critical point, without the superconductivity sign, where the temperature dependence of the heat capacity and electrical resistivity in this region reveal non-Fermi Liquid behavior. The above results, for example, the suppressing of T N, maybe a new way to find low-temperature superconductivity in these compounds.