To study the influence of the first tunnel priority principle and the CRD excavation sequence on the surrounding rock of shallow-buried bias pressure double-tunnel tunnel, a reasonable tunnel excavation sequence was put forward. Based on a tunnel project in Chongqing, a two-dimensional finite element tunnel model was established by using Midas/GTS software, and the principal stress of four different excavation schemes, namely right hole with right first excavation, right hole with left first excavation, left hole with right first excavation, and left hole with left first excavation, were analyzed respectively. The results show that the excavation scheme of right hole with left first excavation minimizes the displacement and stress of surrounding rock, and the excavation scheme is the best. The results can provide references for similar tunnel construction.