Abstract: In this paper, the theory of fuzzy random optimization was introduced into the hybrid AC/DC microgrid optimization operation to meet the demand of reliable operation in hybrid AC/DC microgrid with high-density intermittent energy access. Based on the uncertain optimization theory, a fuzzy random expectation model was proposed to minimize the combined operating cost of hybrid AC/DC microgrid. Then a real-time unbalanced power adjustment model was established to minimize the daily adjustment costs. Besides,the fuzzy random ADMM algorithm was improved to solve the fuzzy random optimization. Contrasts from simulation results of deterministic optimization, stochastic optimization and fuzzy random optimization validate the effectiveness of fuzzy random expectation model and algorithm in hybrid AC/DC microgrid optimal operation.