Masonry structures were the oldest known construction system since the dawn of ancient civilizations and have a great width between all the structures; it was designed commonly for the past 100 years worldwide. As it was commonly effective to resist compressive stresses, despite its weak tensile strength. From a geometrical point of view masonry was generally able to withstand lateral loads such as wind, seismic, and blast loads. In the last decades, the scientific interest towards fiber-reinforced polymers (FRP) requirements for masonry reinforcement on one side, especially in highly diversified Italian architectural heritage. The reinforcing technique is dependent on a high-strength fiber-reinforced polymers (FRP) network embedded into inorganic matrices, which recently was promoted for seismic modifying of brickwork buildings. The modeling techniques for modeling masonry could be classified into three types: detailed micro-modeling, simplified micro-modeling, and macro-modeling. In this paper the authors have reviewed some unreinforced and reinforced masonry structure modeling strategies and methods, mechanical behavior, and the influencing factors, now available in the technical literature.