The purpose of this paper is to explore the response of thermochromic ink to time and temperature, and the effects of different preparation formulas on its kinetic parameters. An intelligent thermochromic label that can discolor irreversibly with time-temperature accumulation was prepared by using the decomposition reaction of photo-acid generator to discolor leucocrystal violet as a color-change system in screen ink. A spectrodensitometer was used to measure the label b value, and make the change of label b value as the measurement index. Then it was fitted with the discoloration time to explore the influence of ink components on the discoloration performance of labels. With the accumulation of time, the label b value gradually reduced, the label color from light yellow to dark blue; at the same time, when the temperature increases, the rate of discoloration of the label is accelerated. The higher the temperature, the lower the label b value measured, and the deeper the blue color presented. And the activation energy of the label is lower when the label |Δb| value is higher at the same temperature. In conclusion, the label responds to the accumulation of time and temperature, and the activation energy of the prepared label fluctuates from 11.453 to 27.676 kJ/mol, which has the potential to be applied in the field of intelligent monitoring of food quality.