A fairing assembly is provided for a towed body having multiple sections that are flexibly joined together. For each pair of sections, a fairing is joined to the first section and positioned over the space between the pairs of sections. The fairing has discrete tabs that extend from the first section across the space between the sections. The tabs are separated to allow angular displacement of the first section with respect to the second section. Two layers of overlapping tabs are provided for reducing hydrodynamic forces in between the sections.