Drug release and its relationship with kinetic and thermodynamic parameters of drug sorption onto starch acetate (SA) fibers have been studied using Diclofenac, 5-Fluorouracil (5-Fu), and Metformin as model drugs. The sorption method is more flexible and can avoid limitations or problems which occur with molten or dissolution methods. To understand drug release of sorption loading, kinetic and apparent thermodynamic parameters, such as diffusion coefficient, activation energy for diffusion, affinity, and sorption enthalpy and entropy, have been investigated. The quantitative relationship between drug release and drug-loading concentration, affinity, and activation energy for diffusion has been established to predict the initial burst and subsequent release of the drugs. Up to 12% of Diclofenac, based on the weight of SA, can be loaded onto fibers using the sorption method. Drugs with higher activation energy for diffusion, lower diffusion coefficients, and higher affinity for SA fiber, such as Diclofenac, are more suitable for sorption loading. It has also been found that elevated temperatures will achieve higher loading capacity and a more constant release rate.