The invention relates to a liquid curable resin composition capable of forming a ribbon matrix material which can be completely removed from a coloring layer when separating the optical fiber ribbon. A liquid curable resin composition comprising: (1) 30 80 wt. % of a urethane (meth)acrylate produced by reacting (A) a polyol compound, (B) a polyisocyanate compound, and (C) a (meth)acrylate compound containing a hydroxyl group, (2) 0.01 10 wt % of 2-methly-1-[4-(methylthio)phenyl]-2-morpholino-propan-1-one, and (3) 10 70 wt. % of a polymerizable diluent comprising a polymerizable monofunctional vinyl monomer which is copolymerizable with the component (1), wherein a two-layer film, which is obtained by applying the composition to a cured film of a UV-curable resin comprising the compound shown by the above formula (1) and curing the composition, has a T-peel strength of about 1.8 g/cm or less.