The invention relates to pervious recycled aggregate concrete with a microwave absorbing function and a preparation method of the pervious recycled aggregate concrete and belongs to the field of building materials. The concrete is prepared from, in parts by weight, 10-20 parts of polyacrylate, 10-15 parts of graphene oxide, 10-15 parts of wave-absorbing materials, 1,000-1,300 parts of recycled aggregate, 320-360 parts of cement, 240-360 parts of 50-200-mesh fine sand, 4-7 parts of sodium silicate, 2-3 parts of aluminum sulfate, 1-2 parts of calcium chloride, 60-90 parts of superfine mineral powder, 3-4 parts of a water reducer, 100-120 parts of water and 10-20 parts of an adhesive. The 28 day's compressive strength of the prepared concrete can reach 30-60 MPa, the high-strength and high-toughness pervious recycled aggregate concrete can be obtained, the concrete has the bandwidth being 10.5 GHz with reflectivity smaller than minus 7dB in the frequency range of 7-26 GHz.