Note
The following information is about Microsoft Stream (Classic) which will eventually be retired and replaced by Stream (on SharePoint). To start using the newer video solution today, just upload your videos to SharePoint, Teams, Yammer, or OneDrive. Videos stored in Microsoft 365 the way you'd store any other file is the basis for Microsoft Stream (on SharePoint). Learn more...
When you invite coworkers to Microsoft Stream, they can view already uploaded videos and also upload and share their own. Inviting your coworkers will help grow your library of videos and can increase productivity through cross-team and cross-organization collaboration.
Invite your coworkers
In the Stream (Classic) navigation bar, select Invite.

Search for the people or groups you would like to invite to Stream.
If your organization uses Azure Active directory, you will be able to search for co-workers using their names. Otherwise, you can directly add an email address belonging to the same email domain as yourself.

Select Invite and Stream (Classic) will send an email invitation to those listed, but not already signed up for Stream. When they sign up and join, they can begin watching and uploading their own videos.
Next steps
Feel free to start sharing videos with your coworkers inside your company, even if they haven't signed up yet - they will get a chance to sign up from your share link. For more information, see share a video.