Provided are an organopolysiloxane composition for producing a rope structure excellent in fatigue resistance, a rope structure using the same, and a process for producing the rope structure. The organopolysiloxane composition comprises an organopolysiloxane having an average polymerization degree of 50,000 to 200,000 and represented by the following formula (I): wherein X1, X2, X3 and X4 are the same or different, each independently representing —H, —OH, —COOH, —R, —NH2, —ROH, —RCOOH, or —RNH2; R representing an alkyl group or an aryl group; and each of m and n independently denotes an integer of not less than 1. The organopolysiloxane composition is applied to liquid crystalline polymer filaments in the process of producing the rope structure from the filaments.