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In this paper,the stability of a periodic heterogeneous nanotube conveying fluid is investigated.The governing equations of the nanotube system are derived based on the nonlocal Euler-Bernoulli beam theory.The dynamic stiffness method is employed to analyze the natu-ral frequencies and critical flow velocities of the heteronanotube.The results and discussions are presented from three aspects which reveal the influences of period number,material length ratio and boundary conditions.In particular,we make comparisons between the heterogeneous nanotubes with periodic structure and the homogeneous ones with the same integral values of material properties along the longitudinal direction to isolate the influences of periodic distribu-tion.According to the simulation results,we can conclude that with a proper selection of period number in terms of length ratio,the stability of the constructed nanotube can be improved.