This study proposes a measurement-device-independent (MDI) quantum secure direct communication (QSDC) protocol with an identity authentication server to solve the problems concerning identity authentication and protocol feasibility during quantum communication and further puts forward a quantum voting scheme on the basis of the proposed MDI-QSDC protocol. This scheme takes advantage of various technologies, such as MDI quantum key distribution, perfect quantum encryption, and the classical one-time pad. In this way, it not only ensures its unconditional security in theory but also avoids the attack of the vulnerabilities of the measurement equipment by outside attackers in practice. Furthermore, this scheme takes the weak coherent pulses in the BB84 state as quantum resources and only performs single-particle operations and the measurements for identifying Bell states. As a result, this scheme is highly feasible for the present technologies. In addition, it extends the identity authentication function and enables the scrutineer to verify the integrity and correctness of voting information by adopting the Bit Commitment. Simulation results and analysis show that the proposed scheme is correct and has unconditional security in theory, i.e., information-theoretic security. Compared with the existing quantum voting schemes, the proposed scheme is more feasible.