Quantum energy teleportation is a protocol that the energy can be teleported by local operations and classical communication. The Hotta's two-qubit model of QET is reviewed. The topological ordered system is a good system for quantum information and quantum computation because of its robustness. The topological qubit is one kind of topological ordered system. Each topological qubit is composed with two Majorana modes of a 1D Kitaev's chain. The Hotta's qubit model can be expressed in terms of Majorana modes. For the viable cases of QET, they follow three conditions: (1) the measurement and operation consists of odd or even number Majorana operators simultaneously. (2) the energy variation of the interaction term with respect to the post-operation state is negative. (3) the measurement and operation have to act on the different subsystems. The efficiency of QET in topological qubits can be higher than the two-qubit model.