This paper has two main objectives. The first is to provide an overview of the CDT annotation design with special emphasis on the modeling of the interface between syntactic and morphological structure. Against this background, the second objective is to explain the basic fundamentals of how CDT is marked-up with semantic relations in accordance with the dependency principles governing the annotation on the other levels of CDT. Specifically, focus will be on how Generative Lexicon theory has been incorporated into the unitary theoretical dependency framework of CDT by developing an annotation scheme for lexical semantics which is able to account for the lexico-semantic structure of complex NPs.