An effective response to climate change that assures a sustainable development pathway will require a fundamental transformation towards a low carbon, climate-resilient societies. Each change need for solid financial support, financial solutions, and dedicated instruments, taking into account ESG factors and taking into account the impact of financial crises. This chapter aims to bring together theories, trends, dilemmas, and directional concepts to answer the question about changes in the existing paradigm of climate finance. On the other hand, the analysis of trends and presenting future prospects regarding sustainable finance will be aimed at enhancing the substantive and practical knowledge of the target audience. In addition, in this chapter, the following issues will be presented in particular: changes in the sustainable finance paradigm and the emergence of the climate finance paradigm, macro-and micro-financial aspects of climate change taking into account the influence of risk (including ESG risk), and a new landscape of climate finance.