A production method for a headline sonar cable (20, 120) that exhibits a high breaking-strength and lighter weight than a conventional steel headline sonar cable. Producing the headline sonar cable (20, 120) is characterized by the steps of: a. providing an elongatable internally-located conductive structure (34, 134) that is adapted for data signal transmission; and b. braiding a strength-member jacket layer (52) of polymeric material around the structure (34, 134) while ensuring that the structure (34, 134) is slack when surrounded by the jacket layer (52).