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Goals from Gareth Furlong, Luke Hawker and Rupert Shipperley secured the win in Belfast.
They play Scotland on Sunday before facing France in their final group game on Tuesday,
A top-two finish in the eight-team tournament would lift them in the rankings and give them a chance of a first World Cup appearance.
The World League is a series of tournaments held over a two-year period with the latest edition running from Saturday 11 to Sunday 19 March in Belfast.
The final group standings decide the knockout fixtures and the two teams who reach the final will go through to the next round of the World League in London in June.
Wales men's hockey team beat Poland in their opening game in the of the World League 2 tournament.