Scientists predict ongoing global climate change to trigger adverse events affecting about 143 million people in the Global South by 2050, leading to various forms of migration and mobility. While existing literature extensively examines climate-induced migration, there is a lack of studies considering the compounding impacts of multiple climate hazards on migration, mobility, and immobility. To address this gap, we conducted a systematic literature review to explore how climate-induced stressors, specifically rising temperatures, water stress and droughts, and floods and sea-level rise, have affected populations in the Global South, leading to voluntary and/or forced migration. Our findings show that these stressors have displaced and profoundly impacted millions of people, resulting in both internal and transboundary migration. Climate-induced stressors often trigger migration through indirect pathways influenced by multiple intervening institutional, political, and socio-economic factors and programmatic and policy gaps. Effectively addressing challenges related to climate-induced migration necessitates adaptation strategies that adequately consider the impacts of these intervening factors while recognizing their differential effects on various socio-demographic groups. We argue that support from Global North countries, including compensation for loss and damage, along with continued institutional and financial support from international non-governmental organizations, is crucial for managing climate-induced migration in the Global South. Without proper planning and adequate resources, migration may escalate and significantly impact human security. The findings of this study can inform climate migration policies and assist adaptation and migration experts in identifying intervention mechanisms and opportunities for people-centered climate solutions.