Based on establishing a mathematical model of the system provided system parameters, using the discrete-time Markov chain and a function set by a nonnegative integer random variable as probabilistic methods, the discrete time variable, two-queue different-gated polling system is fully analyzed, the low- and higher-order properties and cycle period of the system are deduced, and the average queue pair length and average waiting delay for message packets are calculated accurately. The simulation experiments agree well with the theoretical calculations. The analysis further deepens the understanding of the asymmetric threshold polling system, lays the foundation for research on the asymmetric threshold polling system, and has positive significance for a better and more flexible control periodic query polling work system.