We provide a characterization of surjective isometries on the unit spheres of the complex combinatorial Tsirelson space denoted as \(T[\theta , \mathcal {S}_{\alpha }]\) for \(\theta \in (0, \frac{1}{2}]\) and \(1\le \alpha <\omega _1\) , where \(\mathcal {S}_{\alpha }\) denotes the Schreier family of order \(\alpha \) . Applying these results we prove that every surjective isometry between the unit spheres of \(T[\theta , \mathcal {S}_{\alpha }]\) can be extended to a surjective real linear isometry between the whole spaces. This provides a positive solution to Tingley’s problem for complex Tsirelson-type space \(T[\theta , \mathcal {S}_{\alpha }]\) .
