The nano-quasicrystals reinforced Mg-Zn-Y alloy has ultra-high elongation at room temperature and has broad application prospects. It is necessary to further study its hot deformation behavior, which is a typical theoretical and application basis for subsequent processing. In this paper, Mg-1.92Zn-0.34Y (wt.%) alloys containing nano-quasicrystalline particles were prepared by the composite process of semi-solid and hot extrusion. Then, the alloy was subjected to hot compression tests at temperatures of 250, 300 and 350 ℃ and strain rates of 10-3S-1, 10-2S-1 and 10-1S-1 by an electronic universal testing machine (MTS-CMT5105). Based on the true stress-strain curve, peak stress, microstructure and constitutive equation, the effect of nano-quasicrystal particles on hot deformation behavior of Mg-1.92Zn-0.34Y alloy was studied. The results show that the high-ductility Mg-1.92Zn-0.34Y alloy with Nano quasicrystals was prepared by the combination of semisolid and hot extrusion processing. The processed alloy exhibited a high tensile elongation to failure (EL) of 44 ± 2.6 % with ultimate tensile strength (UTS) of 258 ± 2.0 MPa and tensile yield strength (TYS) of 176 ± 1.6MPa at room temperature. The strain rate and processing temperature have significant effects on the flow stress. The average deformation activation energy and stress index of Mg-1.92Zn-0.34Y alloy are 271.776 KJ/mol and 6.443, respectively. The alloy has good thermoplasticity and no instability phenomenon occurs under experimental conditions, which indicates that the presence of nano-quasicrystals improves the deformation ability of the alloy.