The viscoelastic properties of connective tissues play fundamental roles in the functioning of many organs and organisms as well as in the interactions of these macroscopic biosystems with the complex environment they live in. An emerging view exists that the viscoelastic properties of the extracellular matrix of the lung reflect, to a large extent, the underlying complexity of its structure. This chapter summarizes the phenomenological description of lung tissue viscoelasticity and its relation to tissue composition and structure. In particular, it is shown that the constitutive equation and, hence, the stress relaxation of the lung tissue follows a power law functional form. The constituents of the connective tissue mainly determine the proportionality constants, whereas the complex structural organization of the tissue is responsible for the power law and the numerical value of the exponent. It is argued that the power law constitutive equation develops from the complexity of the structure and the interactions among the components. A concise mathematical description of the constitutive equation of the lung tissue can be based on fractional calculus, which is related to the fractal properties of the collagen‐elastin fiber network embedded in the proteoglycan matrix.