Climate change is associated with extreme weather events such as heat waves, droughts, floods, hurricanes, storms, and wildfires globally. Within cities, the impacts of climate change are quite conspicuous as the percentage of urban dwellers is expected to reach about 70% by 2050. As the planet warms up, temperatures in cities are likely to increase more than in rural areas. These dual challenges severely impact urban residents. This paper reports on a study on the impacts of climate change on the health and liveability of a set of 15 cities, in industrialised and developing countries from around the world. The assessment, based on the literature, examined the average temperature, maximum temperature and relative humidity of each city, and this data has been correlated with their liveability. It was complemented by a survey focused on residents of 109 cities from Africa, Asia, Europe, Latin America, North America Oceania. The findings show that developing countries seem to be especially struggling to adapt to the threats caused by increasing temperatures. Moreover, cities in industrialised countries are not immune to climate change impacts. The paper also outlines some mitigation and adaptation measures, which can be implemented to improve the liveability in cities and the well-being of their populations, and to make them more sustainable.