It is well known that axial inhomogeneity of the stress distribution within a thin-strip causes defects such as edge waves and center buckling during the thin-strip coiling process. In the current study, an analytical model was utilized to investigate the effects of processing parameters such as strip crown, spool geometry, and coiling tension on the elastic stress distribution and deformation of the strip during the coiling process. In the present investigation, the elastic modulus was introduced as a function of temperature and axial distance for better simulation of the process. According to the present analyses, it was found that improvement of the strip flatness might be achieved by suppressing the strip crown, increasing the thickness of the spool with the shape of a swollen hollow cylinder, and lowering the coiling tension with transient increase at the beginning stage of the coiling process only. This study will be helpful for better understanding of identifying the proper processing parameters during the coiling process.