A major goal of real-time systems is to meet the timing requirements. A distributed transaction processing should guarantee correct completion for the failure atomicity. When distributed transaction processing is required for real-time applications, it must satisfy the correct completion along with timeliness. All previous commit protocols supporting the correct completion, however, fail to provide the timeliness for real-time processing. This paper proposes a new commit protocol. The basic idea is that the commit procedures for correctness rely on the results of remote transactions that are timely completed. We call the new protocol Real-time Commit Protocol (RCP). RCP satisfies both the correct and the timely completion and produces several desirable effects for fast computing like the elimination of voting phase and the reduction of the number of messages in two phase commit protocol.