– In this paper, we define a new idea of trapezoidal linguistic cubic hesitant fuzzy number. We discuss some basic operational laws of trapezoidal linguistic cubic hesitant fuzzy number and hamming distance of trapezoidal linguistic cubic hesitant fuzzy number. Furthermore, we develop Trapezoidal linguistic cubic hesitant fuzzy TOPSIS method to solve the MCDM method based on trapezoidal linguistic cubic hesitant fuzzy TOPSIS method. Finally, an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method