Concrete is an indispensable material for today's construction industry and it is the most used building material globally. Strength and easy accessibility are important properties of concrete. Contrary to its high compressive strength, low tensile strength, brittle structure, and crack formation are problems that must be solved in order to build safe buildings. Today, using polymer fibers to prevent possible cracks on the concrete is the focus of many researchers. In the review article was presented a comprehensive literature review of polymer fibers include polypropylene (PP) polyethylene (PE) polyethylene terephthalate (PET), polyamide (PA), polyvinyl alcohol (PVA), and polyacrylonitrile (PAN) fiber properties, as well as the use of these polymer fibers in concrete. Our purposes in this study were to review, all aspects previous studies of fiber reinforced concrete were compared to determine concrete parameters such as shrinkage and crack formation, compression, splitting tensile and flexural strength, toughness, and modulus of elasticity. As a result, it has shown that the polymer fibers decrease the formation of cracks in concrete and increase durability, mechanical properties such as flexural strength and splitting tensile strength.