Since the Industrial Revolution, the increase of anthropogenic carbon dioxide (CO₂) emissions has led to the greenhouse effect and the rise of the surface temperature on the earth and in the ocean. At the same time, ocean is absorbing more CO₂ that causes ocean acidification. Ocean warming accelerates the biochemical reaction and metabolic rate of fish and indirectly influences the distribution of fish population, community structure and ecosystem function by affecting the energy supply in the life process such as growth, foraging and reproduction. Ocean acidification may impact the sensory and behavior of marine fish, increase their predation rate, and weaken their ability to survive, which will threaten the supply of natural population. The effects of ocean acidification and warming on fish have complex interactions such as synergistic accumulation and antagonism. In this paper, the impact of ocean warming, acidification and their combined effects on marine fish are introduced successively, which maybe provide relevant basis for predicting the variation trend of fish in response to climate change.