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Big bang nucleosynthesis in a modified gravity model of $f(R)\propto R^n$ isinvestigated. The only free parameter of the model is a power-law index $n$. Wefind cosmological solutions in a parameter region of $1< n \leq(4+\sqrt{6})/5$. We calculate abundances of $^4$He, D, $^3$He, $^7$Li, and$^6$Li during big bang nucleosynthesis. We compare the results with the latestobservational data. It is then found that the power-law index is constrained tobe $(n-1)=(-0.86\pm 1.19)\times 10^{-4}$ (95 % C.L.) mainly from observationsof deuterium abundance as well as $^4$He abundance.

Corrected constraints on big bang nucleosynthesis in a modified gravity model of $f(R) \propto R^n$