Skipper Barry Middleton, making his 380th international appearance, opened the scoring in the 11th minute at the Lee Valley Hockey Centre in London.
Mark Gleghorne added a penalty stroke moments later to double the lead.
Scotland took an early lead through captain Chris Grassick but lost 4-1 to India in their opening Pool B match.
As well as attempting to reach the World League Finals later in the year, the top five teams qualify for the 2018 World Cup in India.
Scotland next come up against Netherlands while England face Malaysia, both on Saturday.
Hosts England moved top of Pool A after beginning their campaign in the men's Hockey World League semi-finals with a comfortable 2-0 victory over China.