A system of aseismically creeping and interacting strike-slip faults, situated in a visco-elastic half space, representing the lithosphere- asthenosphere system, is considered. The effects of aseismic fault creep across faults of the system are investigated. The dynamics of the model in the aseismic state is considered, both before any fault movement occurs, and also after the commencement of fault creep. For a system of long vertical strike-slip faults, consisting of any finite number of faults, the effect of aseismic creep across faults of the system on the shear stresses near the other neighbouring faults is investigated in detail, together with the effect of fault movement on the surface displacement and surface shear strain in the model, using analytical methods involving the use of integral transforms and Green’s functions, as weil as computational algorithms and computer programmes developed for the purpose. The investigations show that aseismic creep acrosS any fault generally tends to release shear, stress near the fault itself. Continuous aseismic stress release near the fault due to creep across the fault is found to occur under suitable conditions. This reduces progressively the possibility of a sudden earthquake-generating seismic fault movement. The effect of aseismic creep across any fault on the neighbouring faults of the fault system is found to depend on the model parameters, including the creep velocity, the dimensions of the faults as well as the relative positions of the faults and the distances between them. An interesting result of the interaction between the faults is that if the faults of the fault system are of similar dimensions and more or less at the same level, then aseismic creep across any fault tends to release the shear stress near the neighbouring faults, thus reducing gradually the possibility of future seismic fault movements. However, if the faults of the system are more or less vertically above or below one another, then creep across any fault tends to increase the shear stress accumulation near the neighbouring faults, resulting in an increase in the possibility of earthquake-generating fault movements in future. The effect of aseismic creep across any fault on the neighbouring faults is found to decrease quite rapidly with increase in the distance between the faults.