The solid-state H-1 NMR free induction decay (FID) signal of polyethylene (PE) has been resolved into a crystalline and an amorphous part by model fitting. The "crystalline" part of the FID is represented by the inverse Fourier transform of the "Pake" function (in the frequency domain). Likewise, the "amorphous" part of the FID is modeled as a linear combination of analytical functions of the following types : exponential (E), Gaussian (G), Weibullian (W), and Brereton (B). Model fitting and statistical evaluation of these different assemblies of functions, suggest the P-B-E model to give the best representation of the overall FID of PE. The crystallinity derived from these model fits is discussed and compared to more conventional methods of determining crystallinity, such as density measurements and differential scanning calorimetry (DSC).