We develop a homotopy theory of categories enriched in a monoidal model category Ν. In particular, we deal with homotopy weighted limits and colimits, and ho-motopy local presentability. The main result, which was known for simplicially-enriched categories, links homotopy locally presentable Ν-categories with combinatorial model Ν-categories, in the case where all objects of Ν are cofibrant.