Considering one of the particles as a quantum memory in a bipartite system can remarkably improve the measurement accuracy for two incompatible observables. Herein, we study quantum-memoryassisted entropic uncertainty bound for an arbitrary two-qubit X-state, and then we get a clear formula as the entropic uncertainty bound. In the following, we examine analytically and numerically the dynamics of entropic uncertainty bound in a symmetric multi-qubit system under four types of noisy channels, i.e. phase-flip, amplitude damping, phase-damping, and depolarizing channels. Our results show that the entropic uncertainty bound dynamics is related to the number of particles and especially the noise channel used. Noteworthy, our remarks reveal that under the amplitude damping channel, the entropic uncertainty bound can be suppressed during the time. It turns out that under an amplitude damping channel, these results can be important in practical goals where the minimum uncertainty is required such as quantum computation. † at all times. The uncertainty principle is one of the important and fundamental concepts in quantum theory. It defines the distinction between the classical and the quantum world. The uncertainty principle has been first introduced by Heisenberg [6]. Originally, he proved that the momentum and location of a particle could not be determined simultaneously with high accuracy. In fact, the accurate measurement of one observable reduces the accuracy of another observable measurement. Up to now, the uncertainty principle has been formulated in different ways. However, the most important and fundamental relation is presented by Schrödinger [7] and Robertson [8]. They claimed that the following relation is satisfied for two arbitrary incompatible observables U and V as RECEIVED