[en] We performed a computational study to calculate the quadrupole coupling constants (C_Q) in the aluminum doped (Al-doped) boron nitride nanotube (BNNT) based on the density functional theory (DFT). The Al-doped forms of representative (6,0) zigzag and (4,4) armchair models of BNNTs are considered in this study. Comparison with the available data on the pristine BNNTs reveals the influence of Al-doping on the C_Q parameters of ¹¹B and ¹⁴N atoms in the Al-doped structures. For most lattice sites, the magnitude of influence on the C_Q parameters of the zigzag model is larger than that of the armchair model. Similar values of the C_Q parameters of ²⁷Al atoms are obtained for the armchair and zigzag BNNTs when the same element is replaced with Al, but the C_Q parameter is larger for Al when it forms an Al-B bond than when it forms an Al-N bond.