Solid echo NMR measurements were carried out for poly(ethylene sebacate) (2—8), poly(decamethylene 1,16-hexadecanedicarboxylate) (10—16), and chemically degraded 2—8 polyesters. The following results were found: (1) all the samples are composed of three phases: i.e., crystalline, intermediate, and amorphous components; (2) the γ- and β-relaxations are found in the amorphous component of the 2—8 and 10—16 polyesters, in agreement with earlier conclusions from dielectric measurements; (3) in the β-relaxation, the chain mobility in the amorphous region and the value of the activation energy increase with increasing ester group concentration in the polyester; but the degree of restriction imposed upon the local mode motion in the amorphous region is greatly influenced not only by the ester group concentration but also by the morphology of the sample; (4) in the chemically degraded 2—8 polyester, the content of the intermediate phase decreases with increasing crystallinity, however, the mobility of this phase is less sensitive to both crystallinity and temperature.