The effect of pressure on a chiral two-dimensional ferrimagnet [Cr(CN) H 2 O ((R)-pn: (R)-1,2-diaminopropane) has been investigated through ac magnetic measurements in the pressure region up to 12 kbar. This compound has been known to exhibit curious frequency dependence in the ac magnetic response; there is apparently one magnetic anomaly in the low frequency region, whereas the anomaly splits into at least two with increasing frequency. In the present study, we found that a sight pressure brings about successive two anomalies even at low frequency. These experiments let us recognize that this compound originally has successive magnetic transitions. The above-mentioned phenomenon is also confirmed in the third harmonic response.