Herein, the pressure dependence of the electrical resistance R of superconducting 4d and 5d transition metal compounds, CaRh 2 and CaIr 2 , with superconducting transition temperatures, T c 's, as high as 6.09 and 6.04 K at ambient pressure, respectively, is investigated to depict their T c −pressure (p) phase diagrams. The superconductivity of these samples is investigated based on plots of R vs temperature (T) over a wide pressure range. It is demonstrated that the T c of both compounds decreases slowly as pressure increases but saturates in a high pressure range. This behavior is similar to that of SrIr 2 reported previously, suggesting that it may be a unique behavior of the 4d and 5d transition metal compounds investigated. The crystal structures of CaRh 2 and CaIr 2 are determined based on powder X-ray diffraction patterns generated via synchrotron radiation at high pressures, and no structural phase transitions are observed up to ∼20 GPa. The magnetic field dependence of R−T plots recorded at 12.2 and 7.98 GPa for CaRh 2 and CaIr 2 , respectively, is analyzed using three pairing models. Consequently, the superconductivity of CaRh 2 and CaIr 2 could not be explained merely based on s-wave dirty limit and s-wave clean limit models but rather the p-wave polar model. We fully analyzed the magnetic behavior of the superconducting phases of CaRh 2 and CaIr 2 at ambient and high pressures using three different methods: the Werthamer−Helfand−Hohenberg/Maki, empirical, and Ginzburg−Landau models. This report provides a systematic study pertaining to the pressure dependence of superconductivity in binary-element compounds comprising alkali-earth and 4d or 5d transition metal atoms.