The debates will be one of the prominent uses of Twitter live streaming yet.
The difference this year is that people will be able to watch the event from right within the Twitter app.
Twitter introduced this functionality a few months ago. Several Bloomberg newscasts are already streamed inside the app.
Twitter's debate deal will involve live streaming Bloomberg Politics' pre-game and post-game shows for each debate, plus the event itself.
For Twitter, this political partnership is a change from the summer, when it partnered with CBS News for a live stream of the Republican and Democratic conventions.
Twitter said Wednesday that this is an exclusive deal with Bloomberg for the debates, meaning no other TV networks will be live streaming Clinton-Trump coverage on the platform.
Many networks will be using a rival platform, Facebook Live, to stream the debates. Earlier this week Facebook announced a pact with ABC News for it.