  The interplay between the superconducting gap and normal-state pseudogap in
the bilayer cuprate superconductors is studied based on the kinetic energy
driven superconducting mechanism. It is shown that the charge carrier
interaction directly from the interlayer coherent hopping in the kinetic energy
by exchanging spin excitations does not provide the contribution to the
normal-state pseudogap in the particle-hole channel and superconducting gap in
the particle-particle channel, while only the charge carrier interaction
directly from the intralayer hopping in the kinetic energy by exchanging spin
excitations induces the normal-state pseudogap in the particle-hole channel and
superconducting gap in the particle-particle channel, and then the two-gap
behavior is a universal feature for the single layer and bilayer cuprate
superconductors.
