Studying the tensile and compressive properties of fiber-reinforced concrete and obtaining the optimal fiber content is the premise of applying fiber-reinforced concrete to engineering practice. Based on the axial tensile and axial compressive tests of basalt fiber reinforced concrete (BFRC), the tensile and compressive constitutive models of concrete containing basalt fiber are established and the optimal fiber content is obtained. The results show that compared with B0 (plain concrete), 0.2% volume ratio is the optimal fiber content, and the axial tensile strength, splitting tensile strength and bending strength of BFRC increase by 12.53%, 14.79% and 21.26%, respectively. The compressive stress-strain curve of BFRC can be fitted by peak compressive strength (fc), peak compressive strain (εc) and compressive shape parameter (αc). The tensile stress-strain curve can be fitted by peak tensile strength (ft), peak tensile strain (εt) and tensile shape parameter (αt).