Class G cements are sulfate-resistant Portland cements with different setting time requirements and have a common field of use in the oil industry. Compared to other American Petroleum Institute class cements, Class G has a utilization of more than 95% worldwide in oil well applications. Different additives are used together with Class G cement to achieve optimum hardening conditions. In this study, the elastic material properties of high sulfate-resistant (HSR) Class G cements are investigated for a special case implemented in solution mining. There are no published studies to date on the mechanical properties of Class G oil well cements for more than 3 days of curing time and various water-cement ratios. Uniaxial compressive strength, Young's modulus, and Poisson's ratio determination are carried out on a total of 108 samples with different curing times (2, 7, and 14 days) and water-cement ratios (0.4, 0.5, 0.6, and 0.8). Laboratory results were subject to Dixon's Q test for outlier elimination and were analyzed by fitting a multivariable nonlinear regression model to estimate uniaxial compressive strength and Young's modulus.