Question
What are the Training Requirements to become a landscape architect?

Answer
In the United States the path to becoming a licensed LA is by education or substantial and documented work in the field then apprenticeship under a licensed LA, before taking a national exam.  Each state then has its own guidelines.  30 require continuing educational credits.

More can be found here:  

https://www.asla.org/licensure.aspx

I'm not so sure about other countries.