In this work, by means of molecular simulation, we propose two new armchair boron nitride (BN) nanosheets with homonuclear boron bonds with chemical compositions: B 30N 24H 18 and B 33N 21H 18 under the scheme of the density functional theory at the level HSEh1PBE/6–311 + + g(d,p). The main characteristic that these nanosheets contain is that the homonuclear boron bonds are concentrated at the central zone and the periphery of the central hexagon (B 3N 3) of the nanosheets, forming pentagonal and triangular geometries. These structural arrangements generate high cohesion energy (for neutral charge − 10.94 and − 10.10 eV/atom, respectively) compared to the nanosheet with heteronuclear bonds (pristine). Also, as a result of quantum simulations, these nanosheets present an insulator (pristine BNNs)—semiconductor (B 30N 24H 18 nanosheet)—conductor-like (B 33N 21H 18 nanosheet) transition. In addition, it is revealed high polarity (in range of 0.30–4.55 D) and possible magnetic behavior for B 33N 24H 18 composition (2.0 magneton bohr). The two nanosheets are stabilized with global neutral charge, anion (− 1|e|) and cation (+ 1|e|), which could be of great interest in the adsorption process and drug delivery.