A concrete being resistant to rupture, characterized in that it contains 0.02 to 0.3 vol % of an organic fiber comprising an organic material which shows a residual weight percentage of 30 % or less after a heat treatment at 500 DEG C and having a diameter of 5 to 200 mu m and a length of 5 to 40 mm, and has a ratio of water to binding materials of 35 % or less.