P. T. Mocanu in the paper [3] has shown that the well known univalence criterions for holomorphic functions of one variable, due to W. Alexander W. Kaplan, K. Noshiro, S. Ozaki, S. E. Warschawski and J. Wolf (see [1], [2], [4], [5], [8], [9]) can be extended onto the complex functions from the classC1. The same way, in n-dimensional case, we generalize the Takahashi's biholomorphicity criterion from [7] and we obtain a sufficient injectivity condition for the mappings fromC1class.