Fabrication of stretchable functional polymeric materials usually relies on the physical adhesion between functional components and elastic polymers, while the interfacial resistance is a potential problem. Herein, a versatile approach on the molecular-level intrinsically stretchable polymer materials with defined functionality is reported. The single-ion conducting polymer electrolytes (SICPEs) were employed to demonstrate the proposed concept along with its potential application in stretchable batteries/electronics with improved energy efficiency and prolonged cell lifetime. The obtained membranes exhibit 88-252% elongation before breaking, and the mechanical properties are well adjustable. The galvanostatic test of the assembled cells using the obtained SICPE membrane exhibited a good cycling performance with a capacity retention of 81.5% after 100 cycles. The applicability of a proposed molecular-level design for intrinsically stretchable polymer materials is further demonstrated in other types of stretchable functional materials, including poly(vinylcarbazole)-based semiconducting polymers and poly(ethylene glycol)based gas separation membranes.