This paper proposes a professional English translation corpus based on the binomial theorem coefficients. This paper combines the binomial theorem with the vector space model to analyze the similarity between machine translation and human translation in English translation. The study results show that both human translation and machine translation can experience translation inaccuracies. The English translation based on the binomial theorem is more objective and accurate. The professional English translation corpus established by this method can help us solve the problem of professional terminology translation. The research in this paper has a specific reference value for improving the accuracy of the English translation.