Two .. elsmlcally creeping and Interacting burled verllcal lithospheric atrike-sUp fault. arG taken to be situated tn a viacO”‘.la.tlc half-apac., representing the lithosphere-asthenosphere system. A technique Involving the us. of Green’s function. and Integral transforms Is; used to obtain solutions for the displacements, atr8sH’ and strains In the mo.del, In three different cases-the CBle where no fault I .. creeping, the ca.e when one fault I, creeping and the other 18 locked, and the ca.e when both the faults .r. creeping, taking Into account the dllplacement. and Itr8sl’8 present Initially, and IS Burning that tectonIc forces maintain a constant shear atres. far away from the fault.. The type. of fault creep for which the dl.place. menta and streaaes are tlnlte everywhere are Identified, and the condUlona .atlelled by Ihe.e typee of fau~ croep are determined. Detailed computational algorithm. are developed and u.ed for the computation of the displacement., atreaaea and atralna. I~ Is found that the Influence ot fault creep acr088 one fault on the dlaplacements, atreraes and strains liear the other depends ,on the dlatance, dimensions, nature of the creep and the relative poaltlons of the faults. In particular. It II found that, In some casel, Includlng,the caa. In which the faults are of slml’lar dimensions and are at nearly equal depths, ereepacroas one fault leads to alelamlc release of shear Itresa near the other, thus reducing progressively the possibility of a ludden earthquake generating feult movement. But In some other cas8s, Including the caae In which one fault ia vertically above or below the other, creep acroas one fault ‘8 found to Increas. the rate of ahear atreaa accumulation near the other fault, thus Increasing the posslblllty of a sudden seismic fault movement across the other fault, If It Is locked. The effect of one creeping fault on another Is found to decrease quite rapidly with Increase In the dlatance between the foult.. The pos.lble uses of the model In. the study of Ihe Interaction between neighbouring burled .trlke-sllp faults In the lithosphere and the Influence of the Interaction on the p08B,lblllty of earthquakes due to seismic movements acrosa such faulta is examined.