<p>Disclosed is an improved light transmitting fiber comprising a transparent inorganic substance or organic polymeric material as a core component and a methacrylate polymer as a cladding component. The methacrylate polymer is a methacrylimide-containing fluoroalkyl methacrylate polymer comprising (A) 2 to 98 weight % of methacrylimide units of formula (I): <IMAGE> (I) wherein R represents a hydrogen atom or a hydrocarbon group having 1 to 20 carbon atoms, (B) 98 to 2 weight % of structural units derived from a fluoroalkyl methacrylate monomer, and (C) 0 to 50 weight % of structural units derived from a monomer copolymerizable with the monomer (B).</p>