The Turin University Treebank (TUT) is a treebank with dependency-based annotations of 2,400 Italian sentences. By converting TUT to binary constituency trees, it is possible to produce a treebank of derivations of Combinatory Categorial Grammar (CCG), with an algorithm that traverses a tree in a top-down manner, employing a stack to record argument structure, using Part of Speech tags to determine the lexical categories. This method reaches a coverage of 77%, resulting in a CCGbank for Italian comprising 1,837 sentences, with an average length of 22,9 tokens. The CCGbank for English has proven to be a useful tool for developing efficient wide-coverage parsers for semantic interpretation, and the Italian CCGbank is expected to be an equally useful linguistic resource for training statistical parsers.