On basis of the data from tests, FE nonlinear analysis mode on the multi-planar CHS KK-joints with in-plane gap and out-of-plane overlap (KK-OPOv) was advanced and validated in terms of failure mode, ultimate bearing capacity and etc. And the adaptability is reasonable. Moreover, FE nonlinear analysis for the joint on the typical load-displacement curve, failure behavior, failure mechanism and etc was conducted. The study suggests that the multi-planar KK-OPOv joints appear mainly in the CLD1 failure mode; at the time of failure, the tube wall deformations on the chords of multi-planar KK-OPOv joints and the corresponding planar K-Gap joints are coincide with each other basically. Both of these two types of joints are of a same failure mechanism; the multi-planar parameter ζt influences, to a certain extent, the ultimate bearing capacity on joints. That is, as the overlapping ratio of the out-of-plane braces is higher (namely, the absolute value of ζt increases), the ultimate bearing capacity of the joints decreases.