A family of Microsoft word processing software products for creating web, email, and print documents.
I am getting this same exact problem. When opening my document from the OneDrive directory, it seems to hang on attempting to open the underlying template, and then crashes. If I move that file to outside of the OneDrive directory, I can open it.
This seemed to have started after a raft of office 2013 updates happened on April 18.
I also get a peculiar side-effect: if I attach the document to an Outlook e-mail after directly downloading from OneDrive, my recipients who have Office 365 are being asked to sign in with a message that says "Call us overprotective, but we need to verify your account again before opening this document." This message seems to be tied to a SharePoint issue. If I modify that document locally before sending out, there is no sign-in dialog that pops up.
I have been able to get the file to open if I uncheck "Use Office to sync files faster and work on files with other people at the same time" that is in the OneDrive settings dialog, and was recommended as a solution in the question about Microsoft being overprotective, but I haven't been able to get around the peculiar side effect.