In this paper, by using Ahlfors' theory of covering surface, the existence of T direction of meromorphic function concerning multiple values is obtained. Results are obtained extending the previous results due to Guo, Zheng, Ng in Bull. Austral. Math. Soc., 69 (2004), 277-287. Moreover, we give an affirmative answer to the question by Wang and Gao in Bull. Austral. Math. Soc., 75 (2007), 459-468.
