Once your training course tested (read the article "How to test my training course before its publication?" for more information), you can publish it.
Access you Mission Center and click on Training courses.
Select your training course and click on Authoring :
Click on Publishing status.
A window containing the creation steps (Editing, Testing, Published) appears. Click on Publish training course.
The Testing and Published steps become green, which means that your training course has now been published and is available to all learners having access rights to this training course.