Determining linear elastic stiffness parameters is a crucial aspect of ground characterization that enables subsequent numerical analyses using finite element, discrete element, and other procedures. Before estimating global settings for a rock mass relative to a proposed excavation such as a rock slope, tunnel or cavern, it is essential to understand parameters of the intact rock first. The main objective of this paper is to investigate the new linear correlations between different elastic parameters and strength of the intact rock. Three essential parameters that need to be determined for intact rock are unconfined compressive strength (UCS), secant and tangent Young’s Modulus (Es and Et), and secant and tangent Poisson’s Ratio (s and t). It is of particular interest to recognize that obtained results show a high correlation between linear elastic parameters.