Like most major online services, Dropbox personnel will, on rare occasions, need to access users’ file content (1) when legally required to do so; (2) when necessary to ensure that our systems and features are working as designed (e.g., debugging performance issues, making sure that our search functionality is returning relevant results, developing image search functionality, refining content suggestions, etc.); or (3) to enforce our Terms of Service and Acceptable Use Policy. Access to users’ file content is limited to a small number of people. We have strict policy and technical access controls that prohibit access to file content except in these rare circumstances. In addition, we use a number of physical and electronic security measures to protect user information from unauthorized access.
Note: If you're a member of a Dropbox Business team, your admins can access the files in your team account.