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Let $K_n$ be a tamely ramified cyclic quintic field generated by a root ofEmma Lehmer's parametric polynomial. We give all normal integral bases for$K_n$ only by the roots of the polynomial, which is a generalization of thework of Lehmer in the case that $n^4+5n^3+15n^2+25n+25$ is prime number, andSpearman-Willliams in the case that $n^4+5n^3+15n^2+25n+25$ is square-free.

Normal integral bases of Lehmer's cyclic quintic fields