Abstract: The daily minimum temperature and average temperature data from 12 national meteorological stations in the economic belt on the northern slope of Tianshan Mountains in Xinjiang were used to study the variation rules of the consecutive cold day index (C_CDI) and its response to temperature change during 1965-2019.The results showed that the annual and seasonal mean temperatures in the study area increased significantly,and the largest warming range in winter and the smallest warming range in summer.Under the influence of climate warming,C_CDI decreased significantly,with the largest decrease in winter and the smallest in summer.There was a significant inverse correlation between C_CDI and mean temperature in the study area.The annual and seasonal temperature anomalies both changed from negative to positive,and the corresponding C_CDI anomalies changed from positive to negative.The sensitivity coefficients of annual and seasonal C_CDI to mean temperature were negative,indicating that C_CDI decreases with the increase of temperature.The absolute value of sensitivity coefficients showed a significant decreasing trend in spring,summer and autumn.In other words,the response of C_CDIto climate warming was weakening.And the C_CDI increased significantly in winter,indicating that the response of C_CDI to climate warming was increasing.