The liquid silicone rubber composition of the invention comprises: (A) a first organopolysiloxane having, in a molecule, at least two epoxy groups and represented by the average unit formula ##STR1## in which R1 is a hydrogen atom, a hydroxy group or a monovalent organic group having 1 to 9 carbon atoms each R1 independently from the others in the same molecule, R2 is a group having an epoxy ring