Aquaculture production supports food security, and it is an important commodity for Indonesia's exports. Climate change determines the sustainability of aquaculture production. Low-carbon development is an effort to control the impact of climate change from a mitigation standpoint, while climate-resilience development is an adaptation. In order to realize sustainable aquaculture in a broad and long dimension and in line with the Sustainable Development Goals (SDGs), it is necessary to develop a low-carbon and climate-resilience development strategy. A descriptive analysis was carried out on a review of published literature to develop the concept of low-carbon and climate-resilience development in aquaculture. The keywords used in the literature search are the impact of climate change on aquaculture, low-carbon development, climate-resilience development, and achievement of the SDGs in aquaculture. The research that has been published mostly discusses the potential Green House Gas emissions (GHG) from aquaculture activities, is still very limited and explains efforts to mitigate and adapt aquaculture to climate change. Efficiency and use of alternative energy sources, increased productivity, feed efficiency and effectiveness, effluent management, disease control and water quality management, and superior seeds can be applied in low-carbon emission development. Meanwhile, climate-resilience development that can be implemented includes the implementation of Integrated Multi-Tropical Aquaculture (IMTA) and Regional Integrated Multi-Tropical Aquaculture (RIMTA), closed systems, and Recirculating Aquaculture Systems (RAS), as well as ponds that integrate mangroves.