The invention relates to a tissue processor (100) for automatically processing histological tissue specimens, the tissue processor (100) comprising a plurality of containers (1, 2, 3, 4, 5, 6, 7) each being provided for a respective histological process for processing at least one tissue carrier, a robotic arm (9) for handling a tissue carrier between the containers (1, 2, 3, 4, 5, 6, 7) for being processed in each of the containers (1, 2, 3, 4, 5, 6, 7), and a control unit for controlling the histological process in each of the containers (1, 2, 3, 4, 5, 6, 7) and for controlling the robotic arm (9), wherein the control unit is configured such that the robotic arm (9) handles a tissue carrier between the containers (1, 2, 3, 4, 5, 6, 7) while the histological process in each of the containers (1, 2, 3, 4, 5, 6, 7) continues in an uninterrupted fashion, so that the execution of the process for each tissue carrier is independent from the loading order and/or process duration of other tissue carriers being processed in the containers (1, 2, 3, 4, 5, 6, 7).