Munster, 35, is Swedish and part-Irish.
The VFF announced the arrival of the new coach in Port Vila on their Facebook page
Munster comes from Minerva Punjab in India where he was Technical Director of the I-League side, before signing up as Head Coach there.
He took charge of Minerva Punjab for 16 games during the 2018-19 season, winning only three, before reverting back to his role of Technical Director.
Munster was born in Belfast, Northern Ireland but played most of his career abroad, including for Slavia Praha in the Czech Republic.