We study the dynamics of the entropic uncertainty for three types of three-level atomic systems coupled to an environ-ment modeled by random matrices. The results show that the entropic uncertainty in theΞ-type atomic system is lower than that in the V-type atomic system which is exactly the same as that in theΛ-type atomic system. In addition, the effect of relative coupling strength on entropic uncertainty is opposite in Markov region and non-Markov region, and the influence of a common environment and independent environments in Markov region and non-Markov region is also opposite. One can reduce the entropic uncertainty by decreasing relative coupling strength or placing the system in two separate environments in the Markov case. In the non-Markov case, the entropic uncertainty can be reduced by increasing the relative coupling strength or by placing the system in a common environment.