A method for constructing a stress-pliant physiological electrode assembly is provided. An electrode backing is formed from a stretchable woven textile material compatible to contact the skin on at least one surface. A pair of flexile wires is provided to serve as electrode circuit trace and electrode signal pickup. At least one of the flexile wires is sewn into the textile material which provides a stress-pliant malleability. Each of the flexile wires has an electrically-contacting area functioning for electric signal pickup. The electrically-contacting area may be sewn into the woven textile or affixed to the woven textile via conductive adhesives. The stress-pliant physiological electrode assembly is applicable for a wide array of physiological monitors, including ECG monitors, and especially is suitable for long-term wear. The method disclosed is both environmentally friendly and low-cost.