Spanish historical documents from the Archivo General de Indias (General Archive of the Indies) have been used to identify Caribbean hurricanes and storms from the sixteenth to the nineteenth centuries. These sources provide previously unrecorded information on hurricanes useful to complete preexisting chronologies and cyclone tracks. Our work adds 10 hurricanes not previously identified, which can now be freely accessed through the World Wide Web. The results suggest that the seventeenth century may have been less active than the sixteenth and eighteenth centuries, with the most active period occurring between 1766 and 1780. Additionally, the study is the first compilation of information about storms (different from hurricanes) in the Caribbean basin.