To provide a concrete structure having long durability and high water leaking resistance, in which infiltration of water through cracks in a base material of a reinforced concrete structure can be prevented and infiltration of carbon dioxide having a high influence upon durability of a concrete structure can also be suppressed.

The water-proofing FRP covering structure comprises a reinforced material and an unsaturated polyester resin composition, in which the unsaturated polyester resin composition comprises (1) a polymerizable unsaturated monomer and (2) an unsaturated polyester consisting of (A) a saturated dibasic acid and/or its acid anhydride, (B) an α,β-unsaturated dibasic acid and/or its acid anhydride and (C) a polyhydric alcohol as the essential ingredients, which is dissolved in the above monomer, the said (A) being composed mainly of isophthalic acid and/or terephthalic acid and adipic acid, the said (C) being (E) an ethylene oxide adduct of (D) a polyhydric alcohol selected from the group consisting of diethylene glycol, triethylene glycol, dipropylene glycol and tripropylene glycol and an aromatic dihydroxy compound.