We compute the O(alpha_s^3) total cross section for the process (p pbar -> t tbar h) in the Standard Model, at \sqrt{s}=2 TeV. The next-to-leading order corrections drastically reduce the renormalization and factorization scale dependence of the Born cross section and slightly decrease the total cross section for renormalization and factorization scales between m_t and 2m_t.
