Summary: The purpose of this article is to study the uniqueness problem for meromorphic mappings from \(\mathbb{C}^n\) into the complex projective space \(\mathbb{P}^N(\mathbb{C})\). By making use of the method of dealing with multiple values and the technique of Dethloff-Quang-Tan respectively, we obtain two general uniqueness theorems which improve and extend some known results of meromorphic mappings sharing hyperplanes in the general position.