The invention relates to a foamed aluminum material, in particular to high-impact-toughness foamed aluminum based on A356 aluminum alloy and a production process of the high-impact-toughness foamed aluminum. The production process comprises the steps that (1) 12-20 parts, by weight, of a foaming agent is ground and screened through a sieve with 100-180 meshes; (2) 100 parts, by weight, of A356 aluminum alloy ingots are crushed, ground into particles and then evenly mixed with 8-15 parts, by weight, of inorganic nano-whiskers and 10-12 parts, by weight, carbon nano-tubes, then a mixture is placed into a smelting furnace and completely molten in an inert gas atmosphere, afterwards, the foaming agent is sucked in to the smelting furnace under negative pressure, and a molten aluminum mixture is obtained after uniform mixing; (3) the molten aluminum mixture obtained in the step (2) is poured into a mold, the mold is then pushed into a foaming furnace, and heat preservation is conducted for1-2h at the temperature of 680-700 DEG C; and (4) the mold enters a cooling system to be cooled, and thus the foamed aluminum is obtained. According to the high-impact-toughness foamed aluminum basedon the A356 aluminum alloy and the production process of the high-impact-toughness foamed aluminum, the mixture of the inorganic nano-whiskers and the carbon nano-tubes is added in the forming processof the foamed aluminum, and thus the impact toughness of the aluminum is remarkably improved.