This work investigates the problem of synthesizing obfuscated supervisors against covert actuator attackers. For a non-resilient supervisor S, for which there exist some covert actuator attackers that are capable of inflicting damage, we propose an algorithm to compute all the obfuscated supervisors, with the requirements that: 1) any obfuscated supervisor S' is resilient against any covert actuator attacker, and 2) the original closed-behavior of the closed-loop system under S is preserved, that is, any obfuscated supervisor S' is control equivalent to the original non-resilient supervisor S. We prove that the designed algorithm to synthesize obfuscated supervisors against covert actuator attack is sound and complete.