A hybrid energy DC microgrid has the great advantage of fast load tracking, which makes up for the slow power tracking problem of the solid oxide fuel cell (SOFC) DC microgrid. The existing energy management and control strategies focus on energy allocation but lack the relevant research and mature strategies in terms of system efficiency, operational safety, and fuel starvation. Therefore, an energy optimization and control strategy for hybrid energy DC microgrid is proposed. First, a hybrid SOFC DC microgrid model is constructed. Then, optimal operating points (OOPs) are used to achieve maximum efficiency. An average current control mode is adopted to ensure a stable power supply. Finally, a time-delay control algorithm based on the SOFC current is designed to avoid fuel starvation. The experimental results indicate that the proposed energy optimization and control strategy has advantages such as fast response, high output efficiency, and good thermal characteristics.