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In this paper,the Joule-Thomson expansion of Born-Infeld AdS black holes is studied in the extended phase space,where the cosmological constant is identified with the pressure.The Joule-Thomson coefficient,the in-version curves and the isenthalpic curves are discussed in detail using a 4-dimensional black hole.The critical point of a Born-Infeld black hole is depicted with varying parameter p and the charge Q.InT-P plane,the inversion temperature curves and isenthalpic curves are obtained with different parameter β and charge Q.We find that the missing negative slope is still conserved in Born-Infeld black holes.We also extend our discussion to arbitrary di-mension higher than 4.The critical temperature and the minimum of inversion temperature are compared.The ratio is asymptotically 1/2 as Q increases or β→ ∞ with D = 4,and reproduces previous results at higher dimensions.