Abstract: Tension field theory has been used to study membranewrinkle for a long time. This theory ignores membrane's bending rigidity,and assumes that wrinkling region is in an uniaxial stress condition.Wrinkles are oriented in the direction of the local major principal stress,and the minor principal stress, in the direction perpendicular to the wrinkledirection, is zero. Many wrinkle models are based on this method.They modify the constitutive relation or deformationgradient, then through numerical method, obtain the stressdistribution and the direction of wrinkle. The main disadvantage isthat it can not obtain some information ofwrinkles such as wavelength, amplitude and number. Wrinkle analysisbased onenergy method first assumes the deforming pattern, and then obtain theexpression of wrinkle's amplitude and wavelength through energyrelations.This paper compares different models of membrane wrinkle, anddiscusses development trends of membrane wrinkle research.