Molecules with multiple bonds are challenging for computations of nucl
ear spin-spin coupling constants. This can be referred to the asserted
importance of non-contact mechanisms, to sharp geometry variations as
well as to the handling of the electronic structure problem. We emplo
y a recently developed multi-configuration linear response theory for
calculations of nuclear spin-spin coupling constants in molecular nitr
ogen and carbon monoxide and explore systematically the role of correl
ation for the Fermi contact as well as the other main non-contact mech
anisms.