In the two-chain Hubbard model the on-site Coulomb repulsion generates
a remarkably large pair-transfer coupling constant between bonding an
d antibonding orbitals of a dimer made of the two sites lying on the o
pposite chains and linked by a transfer energy. It leads to a pair-tra
nsfer interaction between two bands composed of these orbitals, promot
ing superconductivity (SC). Since it is found to be as large as intrab
and Coulomb coupling constants, our previous work suggests that SC can
occur in this model. In fact we have obtained a clear indication of S
C in restricted-size systems carrying out the exact-diagonalization wi
th 6 electrons and a variational diagonalization with up to 14. The SC
occurs in suitable band situations for a wide range of on-site Coulom
b energies. We also obtained such an SC indication in a two-dimensiona
l Hubbard model. We mention some candidate materials substantiating th
e present mechanism and suggest it to be quite general.