The invention relates to anti-radiation concrete produced from slag aggregate, and a production method thereof so as to effectively consume and utilize mineral waste, and improve an anti-radiation performance and durability of concrete. The anti-radiation concrete produced from slag aggregate comprises the following raw materials, by weight, 140-190 parts of water, 350-630 parts of a cementing material, 750-850 parts of a fine aggregate, 1000-1500 parts of a coarse aggregate, 0.35-1.9 parts of a tackifier, 2.1-7.5 parts of a water reducing agent, and 30-70 parts of fibers, wherein the cementing material comprises cement and a mineral admixture, the mineral admixture comprises silicon ash and fly ash, the cementing material comprises 300-500 parts by weight of the cement, 20-60 parts by weight of the silicon ash and 30-70 parts by weight of the fly ash, the coarse aggregate is a high titanium heavy slag coarse aggregate, the fine aggregate comprises high titanium heavy slag sand and lead powder according to a mass ratio of 1:0.2-3.0, the tackifier is methyl cellulose ether, and the fibers are one or a plurality of material selected from polypropylene fibers, steel fibers and lead fibers.