Two asoismicallyc …. pin faults are taken to be altuated in a visco-elastic half-space, representiDl tbo IIthOlphor.· .. thenOlphere systOlD. Solution. are obtalned for Ih. dl.plac:emenls, atreues and aURins, usioS a technique involving the use of Green’s functioDi aDd intogral transforms, for three possible cases-the case of the absence of any fault creep, the case in which one fault is creeping and tbe other is locked and lbe …. In which both the faull. are creepi .. , taking inlo accounllhe displace· ments and stresses present initially. and assuming that the tectonic torce. maintain a cODstant shear stress Car away from tbe faulla. The types of lault creep Cor which the displacements. stresses and strains are finite everywhore In lhe model near the faullS are idenlified, and Ihe condition. salisfi.d by these types of rault creep are determined in a simple form. Fault creep across a fault is pneraUy found to reduce the rate of accumulation of shear stress near lbelf. The effect of aseismic creeP across one fault on the shear stress ncar tho other faull is found 10 depend on the distanco, dimensions, reJative positIon and other characteristics of the two faults. Fault creep acrObS one fault is aeneraUy fOUnd to reduce the rate of shear stress accumulation near the other neiahbour .. inB fault in the theoretical model considered. Under suitable circumstancea. aseismic creep across one of the raules is roulld to result in aseismic release of ahear stress near both the fauhs, thus reducing prosressh·ely the possibility of a sudden Cault movement, generating an earthquake. The inHuence of one creep.. iog Cault OD another is found to decrease quito rapidly with increase in tho distance between Ihe faults. The po. sible useS of Ihe mod.1 in the sludy of lhe interaction between neiahbouriog strike-slip faults in the lithosphre and in the estimation of return times of earthquakes is examined