This review aims (a) to investigate the motivations to share fake news on Social Media Platforms (SMPs) according to the Self-Determination Theory (SDT); (b) to identify the solutions to fight these motivations and the agents in charge of implementing them; and (c) the user’s role in this process. We reviewed 64 journal articles published up to April 2022. Misinformation belief and entertainment stood out as the most cited intrinsic motivations, while self-promotion, conspiracy theory, and political ideology were the most cited extrinsic motivations in the reviewed literature. The main solutions to fight fake news spreading on SMPs are improving users’ digital literacy, refining interventions, rating headlines, and sources, and promoting users’ engagement to consume content sustainably. These interventions should be adopted by four agents: governments, SMPs, civil society, and private health organizations. However, the role of SMP users themselves is critical in this process.