FeCoNiAl-based high-entropy alloys (HEAs) are designed by introducing the BCC phase stabilizing element Al as well as other alloying elements into the FCC-FeCoNi matrix, thus exhibiting unique microstructures, mechanical properties, and functional performances, making them promising for a wide range of industrial applications. In recent years, additive manufacturing technology has provided technical support for manufacturing complex HEAs components with ultrafine grains, which has attracted extensive attention. This paper reviews the latest progress in additive manufacturing of FeCoNiAl-based HEAs from the aspects of printing processes, microstructures, performance, defects, and post-processing. Various typical additive manufacturing techniques are systematically summarized, the crystal structures, microstructures and corresponding properties of FeCoNiAl-based HEAs under different processes are discussed, and the mechanisms of defect formation related to rapid solidification and thermal cycles during the additive manufacturing process are elucidated. Additionally, several post-processing methods for improving the performance of FeCoNiAl-based HEAs have been introduced. Finally, future research directions in additive manufacturing of high-entropy alloys are outlined to address the current challenges and accelerate their industrial application.