The effects of pressure on antiferromagnetic (AFM) and superconducting phase transitions of 112-type Ca$_{1-x}$La$_{x}$FeAs$_{2}$ were studied, and the in-plane electrical resistivity $rho_{ab}$ was measured with an indenter-type pressure cell. The AFM phase transition temperatures of $T_{rm N}$ = 47, 63, and 63 K at ambient pressure for $x$ = 0.18, 0.21, and 0.26 was suppressed by applying pressure $P$, with superconductivity emerging at critical pressures of $P_{rm c}$ $simeq$ 0, 1.5, and 3.4 GPa, respectively. Correspondingly, the slope of $T_{rm N}$ against $P$ decreased as $dT_{rm N}/P$ $simeq$ $-$15 and $-$2 K/GPa for $x$ = 0.21 and 0.26, respectively. Thus, although the AFM phase was stabilized with La doping $x$, the AFM phase was suppressed by pressure, and superconductivity eventually emerged.
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