Downloading a local copy of One Note from Office 365 Online

Just to add that there is a distinction between OneDrive for personal use, and for corporate use. Business accounts do not allow to download notes in any way, none of the posts on this page were able to overcome this limitation.

From Microsoft help pages on OneNote app:

Exporting and importing notebooks through OneNote for the web is only available for notebooks stored on personal OneDrive accounts, not for notebooks stored on OneDrive for Business or SharePoint. For information about exporting notebooks to PDF files from OneNote 2016 for Windows, see Export notes from OneNote as a PDF.

Open OneNote, then open the OneNote file in the online location. Then click File > Export > Notebook and export the notebook to a local folder.

This copy will no longer be in sync with the online copy of the notebook.

You said you downloaded from onedrive but there's also an option on onenote online, so, for now, I'll treat it as if you had only tried onedrive but not the other (Microsoft is confusing, am I right?).

Onenote online provides an option to export onenote notebooks, but it is well hidden for some weird reason.

This answer is based on one of Microsoft's support articles: https://support.office.com/en-us/article/export-and-import-onenote-notebooks-a4b60da5-8f33-464e-b1ba-b95ce540f309?ui=en-US&rs=en-US&ad=US.

1. Go to https://www.onenote.com/notebooks and sign in with your Microsoft credentials.
2. You will see your notebooks. Right click the one you want to export.
3. There is an option Export notebook. Click that.
4. A popup window appears and you can click export to download locally (it also lets you choose where to save it).

Hope this helps, although I'm a little late.

Here's what I do for my class notebooks (stored on OneDrive for business). This works for Windows 10, not sure which update made it possible, but I've been doing it for at least 2 years:

1. make sure both your personal onedrive and onedrive for business are syncing to your computer through the trey apps.
2. in OneNote 2016 (not the UWP app) make sure your notebook is fully synced; says 'up to date' and is not open on any other computer or app.
3. right click on the notebook title, select properties, select 'change location'
4. pick a location in your personal onedrive. This creates an extra copy, it does not move the original. I suggest renaming the personal copy on onedrive so it's distinguishable easily.
5. Give it time and make sure it is done and didn't experience sync issues

You could also do the 'export' from OneNote 2016, but my large notebooks tend to fail.

FYI you can still download OneNote 2016, just google that and follow the links.

I too was struggling with it for a long time(i wanted a pdf copy), at last i got it-

1. Open the desktop app view of office 365.
2. Click on the button with 3dots in the upper extreme right of the screen and select print.
3. A new window opens up, now select the option you want(3 given-includes pdf,XPS doc writer and onenote) on the left just below where printer is written.
4. Click on Print and select a location of your choice where you want to save.