In the present paper, we study three-dimensional trans-Sasakian manifolds admitting the Schouten-van Kampen connection. Also, we have proved some results on ϕ-projectively flat, ξ−projectively flat and ξ−concircularly flat three-dimensional trans-Sasakian manifold with respect to the Schouten-van Kampen connection. Locally ϕ−symmetry trans-Sasakian manifolds of dimension three have been studied with respect to Schouten-van Kampen connection. Finally, we construct an example of a three-dimensional trans-Sasakian manifold admitting Schouten-van Kampen connection which verifies Theorem 4.1