Achieving biological softness and flexibility has been a critical challenge for bio-electronic materials inareas of implantable bionic interfaces and wearable devices. Unlike inherently rigid electronic materi-als, bioengineered interfaces or scaffolds require stretchable softness as well as functional porosity forselective ionic transports. Toward this goal of providing electrically conducting biomaterials, we reportultrathin single-walled carbon nanotube (SWNT) layer coating on biodegradable polycaprolactone (PCL)membranes via layer-by-layer (LBL) assembly technique. The resulting membranes have unique, hier-archically structured 3D network of conductive paths around asymmetric nano-/micro-pores, providingsoftness as well as stretchable, anisotropic electrical conductivity. The strain sensors embedded on themembrane also demonstrate bending directional sensitivity as well as piezoresistivity with tunable GaugeFactor (GF) in the ranges of 5–13 with stretchability of up to 100%. Furthermore, these composite mem-branes are biocompatible as evident by neuronal cell attachment tests with in vitro PC12 cell lines. Asfollows, this newly developed implantable multifunctional membrane has considerable potential forapplications in bioengineered devices such as mechano-sensitive artificial interfaces and skins.