The nature and distribution of earthquake damage is strongly influenced by thernresponse of soils to cyclic loading. The better understanding of the dynamic propertiesrnof some particular natural soil such as the Mexico City clays or the San Francisco Bayrnmud, together with the actual ground motion measurements during the Michoacan-rn1985 and the Loma-Prieta earthquakes, have been greatly contribute to show off thernimportance of local site conditions and dynamic properties of natural soils. Of thoserndynamic properties, the shear modulus and damping characteristics of cyclically loadedrnsoils are critical to the evaluation of Geotechnical Engineering problems. Generally, soilrnis a nonlinear material which causes nonlinear seismic loading responses of groundsrnespecially for earthquake ground motions corresponding to strain level (_ ≥ 0.01%).rnIn this thesis, the shear modulus and damping ratio values of soils commonly found inrnArba Minch were determined using cyclic simple shear testing machine on remoldedrnsamples. The tests were conducted as a function of cyclic strain amplitude of 0.01 %, 0.1rn%, 1 %, 2.5 %, and 5% under the axial pressures of 100kPa, 200kPa and 400kPa. The testrnresults revealed that the shear modulus reduction values are in good agreement withrncurves of local soils but slightly lower than other established literature value at thernhighest strain level (_ >0.1 %). The damping ratio value of the tests are generally in arngood agreement with curves of local soils but slightly lower than the other literaturernvalues. This indicates that, the testing conditions appear to have significant effect on therndamping ratio values but little effect on the shear modulus reduction values.rnThe cyclic simple shear test machine, currently functional in the laboratory, is capable ofrnreproducing earthquake stress condition accurately. Moreover, the index properties ofrnthe soil are determined for characterization of the soil in the town to setup schedules ofrndynamic property investigations in this research