We have studied the role of interlayer attractive interaction in a hig
h-T-c system having two layers per unit cell. The single band two-laye
r tight binding model Hamiltonian is considered and the double time Gr
een's function technique is applied within the mean field approximatio
n. The expressions for the hole density, transition temperature, and i
ntra- and interlayer order parameters are obtained which are found to
be dependent on the interlayer interaction and other parameters appear
ing in the Hamiltonian. The numerical analysis shows' that the couplin
g of the charge carriers (holes) between the layers provides better co
nditions for the stabilization of long-range order and high supercondu
cting transition temperature in layered superconductors. It is also ob
served that superconductivity is confined to a narrow region of hole c
oncentration and the single particle tunneling suppresses the transiti
on temperature.