The study analyzed the impact of climate change on yields of wheat crop in Ethiopia by employing Cobb-Douglas Production Function Approach using time series data for the period 1981 – 2018. The study confirmed that long-season rainfall and crop growing season maximum temperature have negative and significant effects on wheat yield. The result implies that a rise in maximum temperature during crop growing period and variation in long-season rainfall could have adverse impact on yield of wheat crop. The findings further showed that fertilizers, improved seed, and irrigation applied on wheat crop have all positive and significant impact on yield of wheat, implying that use of fertilizer, improved seed and irrigation inputs have vital role in increasing yields of wheat crop. Conversely, the study indicated that land area cultivated under wheat cropping showed negative and significant impact on yield of wheat crop, implying that any area expansion under wheat crop production would have negative impact. In view of the findings of the study, it is recommended that adaptation strategies that could offset the adverse effects of climate change should be designed and adopted. An increased use of irrigation is recommended, particularly in potential lowland areas to mitigate the adverse effect of climate sensitivity on wheat crop. Use of improved wheat seed varieties of short duration and tolerant to warm and moisture stress conditions are recommended to increase productivity and production of wheat crop. Increased use of fertilizers in cooler mid and highland areas can be another option to increase the productivity of wheat crop in Ethiopia.