Based on NMQSD (non-Markovian quantum state diffusion) method, this paper studies containing dynamical evolution of geometric quantum discord in a system with X direction Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interaction in a hybrid non-Markovian/Markovian environment and a single non-Markovian/Markovian environment. The results show that the geometric quantum discord in the hybrid non-Markovian environment is higher than that in the single non-Markovian environment. When interaction with X direction KSEA in the same initial state and different directions of intensity, the geometric quantum discord of the system achieves better recovery in a hybrid non-Markov environment. And we find that the single bath in the Markovian environment is better than the hybrid bath.