Summary: In this paper, we investigate the problem of testing the conditional symmetry of a random vector and give another random vector. We propose a new test based on the concept of conditional energy distance. The test statistic has the form of a \(U\)-statistic with random kernel. By using the theory of \(U\)-statistic, we prove that the test statistic is asymptotically normal under the null hypothesis of conditional symmetry and consistent against any conditional asymmetric distribution.