The pressure (p) -temperature (T ) phase diagram for microscopic magnetism in the multiferroic compound HoMn2O5 was established using neutron diffraction measurements under a hydrostatic pressure up to 1.25 GPa. At ambient pressure, incommensurate-commensurate-incommensurate magnetic phase transitions occur successively with decreasing temperature. Upon applying pressure, the incommensurate phase at the lowest temperature almost decreases and the commensurate phase appears. The p -T phase diagram established shows excellent agreement with the recently reported p -T dielectric phase diagram, where ferroelectricity is induced by applying pressure. We also found that the p -T magnetic phase diagram is quite similar to the previously obtained magnetic field-temperature phase diagram.The coexistence of and spontaneous ordering of (anti) ferromagnetism and ferroelectricity, referred to as multiferroics, has recently been identified in certain materials. Both the scientific and technological aspects of these materials have attracted much attention owing to the possible colossal magnetoelectric (ME) effect, in which the electric polarization can be controlled by a magnetic field, or conversely, the magnetization can be controlled by an electric field. The series of rare-earth manganese compounds RMn 2 O 5 (R = rare earth, Bi, and Y) is a prototype multiferroic system that exhibits the colossal ME effect [1,2]. As shown in Fig. 1, this system has two independent Mn sites of Mn 3+ and Mn 4+ ions, a network of which surrounds the R 3+ ion. Furthermore, there are at least five different paths (J 1 ∼ J 5 in Fig. 1) of Mn-Mn exchange interactions [3]. These geometrical configurations potentially involve magnetic frustration, resulting in a complex phase sequence of multiple magnetic tran- It was recently found that a hydrostatic pressure of around 1 GPa can have a dramatic effect on the dielectric properties of Ni 3 V 2 O 8 and RMn 2 O 5 : ferroelectricity is suppressed in the former, [14] while in the latter system, ferroelectricity is restored [15] by applying pressure. In contrast to the case of an external magnetic field, where the magnetic field can directly couple to spins, pressure can tune the magnetic interaction between neighboring spins by decreasing the interatomic distance, and by changing the bond angles. A small change in the arrangement around magnetic ions causes magnetic phase transitions because of the magnetic frustration, which yields dielectric phase transitions in multiferroic systems. However, no microscopic evidence of pressure-induced magnetic phase transitions has yet been found in any multiferroic system. Thus, in the present study, we performed neutron diffraction measurements under hydrostatic pressure in the multiferroic HoMn 2 O 5 system in search for microscopic magnetic responses to pressure and to determine the relationship between the magnetic response and the dielectric response.