OneDrive is a free online personal storage that you get with either a Microsoft account or Outlook.com. You can use OneDrive to save documents, photos, and other files in the cloud, share them with friends, and even collaborate on content.
OneDrive for Business is online storage intended for business purposes. Your OneDrive for Business is managed by your organization and lets you share and collaborate on work documents with co-workers. Site collection administrators in your organization control what you can do in the library.
Note In the header or elsewhere on your SharePoint or Office 365 site, ‘OneDrive’ appears as an abbreviation of OneDrive for Business to keep things simpler.