Based on the decoupling analysis of six-sequence component method for multi-circuit transmission line on the same tower，three fault line selection components of transverse differential protection are proposed to form a new transverse differential protection scheme for the multi-circuit transmission line on the same tower.The action of the three new fault line selection components is analyzed.Application of the new transverse differential protection scheme for the multi-circuit transmission line on the same tower is discussed.The new protection scheme has high sensitivity for the single transmission line fault.Different from traditional transverse differential protection，the breaking fault of potential transformer has no influence on the new protection because the new protection algorithm is not related to voltage.Lots of simulation results with PSCAD/EMTDC verify the feasibility of the new transverse differential protection through comparing several fault line selection schemes.