The heat capacity of rapidly quenched lithium borate glass was measured by a relaxation method between 2 K and 300 K to clarify the origin of a boson peak. The boson peak of lithium borate glass was also studied by Raman scattering measurements. Upon increasing the lithium composition, the peak value of C(subscript p)=T^3 shows remarkable decrease, while the peak temperature of C(subscript p)=T^3 increases markedly. Both the peak temperature of C(subscript p)=T^3 and Raman boson peak frequency linearly increase upon increasing the Li2O content and show a strong correlation with the shear modulus. The universal nature of C(subscript p)=T^3 and Raman boson peak indicates that the distribution of the low-energy excess density of states (VDoS) remains the same with increasing Li2O content.