Controlling lateral force developed by a paravane system. At least some of the illustrative embodiments are methods including: towing a paravane system through water, the towing by way of a bridle comprising a plurality of fixed-length forward lines coupled to a respective plurality of forward tow points, and a plurality of fixed-length aft lines coupled to a respective plurality of aft tow points; and while towing the paravane system through the water changing one or both of the lateral force supplied by the paravane or the direction of the force supplied by the paravane.