This work studies the tracking control problem of discrete Takagi-Sugeno fuzzy Markovian jump systems with packet losses via dynamic output feedback sliding mode control method. A Bernoulli distributed sequence is used to simulate random data packet losses. An argument system including tracking errors, system state and reference model state is constructed, and an output sliding mode surface is designed. Further, the dynamic output feedback sliding mode control law is designed for the argument system, which can drive that the argument system state into the designated sliding mode region. Finally, two simulation examples are provided to demonstrate the performance and applicability of the suggested approach.