We have studied the exciton states in two coupled conjugated polymer c
hains which are modelled individually by the Su-Schrieffer-Heeger Hami
ltonian and coupled by an interchain electron-transfer term. Both the
intra- and interchain long-range Coulomb interactions are taken into a
ccount. The properties of the lowest symmetric and anti-symmetric exci
ton states are extensively discussed for both the parallel and anti-pa
rallel ordering between these two chains. It is found that, for these
two kinds of ordering, the features of excitons are quite different. P
ossible implications for the experiment of luminescent polymers are al
so addressed.