The antiperovskite(Mn, Fe)3XN(C,B) (X: Zn, Ga, Sn, Cu, etc.) compounds display rich physical properties, such as superconductivity, giant magneto resistance, near zero temperature coefficient of resistivity (NZTCR), abnormal thermal expansion, magneto striction, piezomagnetism, magnetocaloric, ferromagnetic shape memory effect (FSM), abnormal Hall effect (AHE), barocaloric and baromagnetic effects, etc. due to strong “lattice-spin-charge” coupling. It will become a new family for advanced multifunctional materials after the intensive and comprehensive studies on perovskite ABO3 compounds. There exist abundant magnetic structures, including non-collinear, frustration and spin glass magnetic configurations in this kind of compound. Baromagnetic effect was reported in antiperovskite structured Mn3GaN compounds. The baromagnetic effect at different pressures and temperatures are studied in Mn3Ga0.95N0.94, which is represented by the parameter (∆mp), i.e. the difference between the data at different pressures with the solidifying temperature: ∆mp=m(T,p) - m(T,p+Δp). The maximum of the baromagnetic effect under 600 MPa is 2.28 μB. This is the first time to report about baromagnetic effect in antiperovskite compounds.