Both conventional coronary angiography and cardiac computed tomography have greatly improved our diagnostic and prognostic evaluation of patients with either suspected or confirmed coronary artery disease. Although several other tools can provide information about coronary anatomy or function, invasive coronary angiography and, more recently, coronary computed tomography angiography (CCTA) are the most commonly used imaging modalities. Coronary atherosclerosis is the most common disease of the coronary arteries and its presence identifies patients at increased risk of events. As a matter of fact, coronary atherosclerosis represents the major determinant for the occurrence of events and the development of ischemic heart disease. Coronary atherosclerosis can translate into plaques that may eventually progress to critical stenosis causing myocardial ischemia. More commonly, atherosclerotic lesions are non-obstructive. Their presence, number and extent negatively affect prognosis independently of other mechanisms. In order to improve prognosis, optimal medical therapy should be initiated to halt disease progression and/or to stabilize atherosclerotic plaques. It is therefore of paramount importance to describe the presence of atherosclerotic lesions well beyond those lesions potentially or undoubtedly capable of inducing myocardial ischemia. These latter lesions may in fact benefit from an interventional or surgical treatment. However, most events are caused by non-obstructive lesions that may often be missed.In common practice, the description of coronary anatomy is not structured in a universal model and each Center applies its own (albeit arbitrary) rules. This consensus document is a collaborative work of some of the major Italian Scientific Societies to offer scientific support to those healthcare professionals who, at different levels, report on coronary anatomy or receive the description of coronary anatomy of patients. After a brief description of the available techniques used to explore the coronary anatomy, the best available evidence in support of a detailed description of coronary atherosclerosis is summarized. In order to promote a useful translation of the information into practice, several recommendations for the correct reporting of coronary anatomy and the suggested treatment for the different clinical scenarios are provided. The aim of this consensus document is to refine the description of coronary anatomy as offered by both invasive coronary angiography and CCTA to improve risk stratification of patients undergoing coronary imaging in clinical practice and to select the most appropriate treatment for improving cardiovascular outcomes.