The magnetic susceptibility of the BH molecule and the screening constants of its nuclei have been calculated by the finite perturbation SCF method, using London field-dependent atomic orbitals. Several sets of contracted Gaussian functions have been used. The split valence triple-zeta basis set augmented with bond functions and lone-pair functions gave good results with regard to accuracy and computer time. The calculated quantities are close to those obtained by other authors using very large field-independent basis sets.