A conductor harness assembly having a main trunk that branches into a first and second branch and a unitary sheath that is formed of a flexible material. A first, second, and third portion of the sheath is circumferentially wrapped about the main trunk, the first branch and the second branch respectively. The sheath may be formed of a woven cloth material, a thermoelastic material, or a combination of the two. The sheath may include attachment features such as barbed pins formed integrally with the sheath.