The research work assessed the stability of rock slopes for optimum exploitation of limestone deposits at Obajana in Kogi State and Ewekoro in Ogun state. Geological mapping was carried out to measure the orientations of discontinuities. The orientation data obtained were plotted on stereonets to determine pole concentration and major joint sets using Dips 5.0 software from Rocscience. Two joint sets were identified in Obajana with orientations of 72 0 /089 0 and 88 0 /221 0 while three joint sets with orientations of 61 0 /048 0 , 16 0 /280 0 and 90 0 /140 0 were identified in Ewekoro quarry face. The Dips software was further used to perform kinematic analyses for toppling, planar and wedge failures for each of the faces investigated. The friction angles for the kinematic analyses were obtained using Roclab 1.0 software (Rocscience, 2002). The results of the analyses show that toppling failure cannot occur in Obajana while planar and wedge failures may occur. The three failure modes (toppling, planar and wedge) were identified in Ewekoro.