Independent components of the piezomoduli tensor for various boron nitride 2D nanoallotropes are calculated. The essence of the offered approximate method of calculation consisted that the effective dipolar moment of an elementary cell of 2D structure brought to unit of area was expressed through a tensor of elastic rigitities and relative deformations of a cell. It is shown that, besides well-known graphene-like boron nitride h-BN, both the other its hexagonal and tetragonal nanoallotropes possessing higher, in comparison with h-BN, piezoelectric properties can be of practical interest.