The ground state properties of the rotating Bose-Einstein condensates (BECs) with SU(3) spin-orbit coupling (SOC)in a two-dimensional harmonic trap are studied.The results show that the ferromagnetic and antiferromagnetic systems present three half-skyrmion chains at an angle of 120° to each other along the coupling directions.With the enhancement of isotropic SU(3) SOC strength,the position of the three chains remains unchanged,in which the number of half-skyrmions increases gradually.With the increase of rotation frequency and atomic density-density interaction,the number of half-skyrmions on the three chains and in the regions between two chains increases gradually.The relationships of the total number of half-skyrmions on the three chains with the increase of SU(3) SOC strength,rotation frequency and atomic density-density interaction are also given.In addition,changing the anisotropic SU(3) SOC strength can regulate the number and morphology of the half-skyrmion chains.