Abstract: Mathematical models for rheological characteristics of a sprayed cigarette holder adhesive were established in order to evaluate the effects of apparent viscosity on the quality stability of the adhesive at different speeds of high-speed cigarette making machines. Quantitative analyses of the flow stability of the adhesive samples at different rotating speeds were made by statistical analysis. Combining with the adaptability to the cigarette making machines, the quality stability of the adhesives in the process of cigarette production was evaluated. The following conclusions were obtained:1) The apparent viscosity and shear speed of the adhesive were in accordance with a non-Newtonian power law. 2) The sprayed adhesives showed a consistent variation in rheological coefficient. In the examined range, the non-Newtonian indices of the adhesive samples from different manufacturers behaved differently, indicating the apparent viscosity had a different sensitivity to the shear speed, reflecting differences in viscosity quality. 3) With the increasing speed, the relationship between the apparent viscosity and the shear speed of the sprayed adhesives was stable, and the fluctuation of the non-Newton index was minimal. There was a significant negative correlation between the variances of parameters of the fitting equation and the non-Newton index, and it always conformed to the mathematical model for rheological properties of the sprayed adhesive for high-speed cigarette making machine.