Abstract: A line tie assembly for securing an elongated line conductor to a line support insulator includes a pair of single-strand line tie components. The line tie components each have a pair of leg portions with helical preformed configurations and a generally U-shaped bight portion integrally interconnecting the leg portions. A generally flat flexible cushioning pad composed of resilient material is pivotally connected to and extends between the bight portions of the line tie components. The bight portions of the respective line tie components hook about a reduced diameter neck portion of the insulator on opposite sides thereof. The leg portions wrap about respective adjacent portions of the line conductor on opposite sides of the insulator for securing the line conductor to the insulator. The cushioning pad is placed between the conductor and a groove in the head portion of the insulator in which the conductor will be retained by the line tie assembly.