Epoxy-modified concrete (EMC) is made by partially replacing ordinary Portland cement with epoxy by weight. This paper presents first simple modification of ACI approach for the analysis of ultimate moment capacity of high-strength epoxy-modified reinforced concrete (EMRC) beams. Such modified approach was based on strain compatibility and equilibrium conditions for EMRC section in combined with suitable idealized compression and tension stress blocks. The stress blocks were given by suitable empirical functions for the compressive and post-cracking strengths of EMRC. It was found that the modified ACI approach was successful in calculating the ultimate moment capacity of EMRC beams with good accuracy, and there was a good agreement between the computed ultimate moments by the proposed flexural approach and the experimental results of several sources of literature. Secondly, this paper concerned with the prediction of the ultimate shear strength of high-strength EMRC beams based on an empirical relation. The comparison of the analytical predictions with several experimental data, presented for a wide range of variables in fourteen different investigations, confirms that the ultimate shear strength of EMRC beams with or without stirrups can be conservatively evaluated using the proposed analytical approach.