Elastic electrical connectors that may be incorporated into a garment to connect multiple electrical components in the garment. These electrical connectors are typically long strips of fabric substrate to which wires are attached along a length of one side in a sinusoidal or zig-zag pattern. The connector may also include an adhesive coating on one side to secure it to a fabric. The wires are electrically insulated, which may be a thermoremovable insulation (e.g., a polyurethane having a melting point of <;400°C). The wires may be attached to the surface of the fabric strip by a stitch at each peak and trough of the sinusoidal or zig-zag pattern with a length between peak and trough stitches between about 1 mm and 15 mm.