The invention discloses wear-resistant anti-skidding concrete and a construction method thereof. The concrete comprises the following raw materials in parts by weight: 100-120 parts of silicate cement, 40-90 parts of sands, 10-30 parts of oxalaldehyde, 50-60 parts of dihydroxymethyl urea, 40-65 parts of aluminum chloride, 70-80 parts of sodium aliphatate, 80-100 parts of ammonium chloride, 10-60 parts of limestones, 30-42 parts of coal ash, 45-85 parts of desulfurized fly ash, 75-95 parts of steel slags, 10-55 parts of potassium nitrate, 15-20 parts of glass dust, 55-100 parts of an accelerant and 80-120 parts of water. The construction method of the concrete comprises the following steps: uniformly mixing silicate cement, sands, oxalaldehyde, dihydroxymethyl urea, aluminum chloride, sodium aliphatate, potassium nitrate, glass dust and water; heating to 180-200 DEG C; stirring for 20-30s; adding the accelerant; uniformly stirring; then, adding residual raw materials and uniformly stirring. The wear resistance of the concrete disclosed by the invention is remarkably improved, and the concrete has a good anti-skidding performance.