Australia's third successive victory gives them nine points and keeps them on top of Group A standings, followed by England on seven points from three outings after their 2-0 win over Malaysia today.
Belgium, having won their previous two matches, stay in the running with six points from three games.
Australia took a two-goal lead at the start with goals from Chris Cirello (seventh minute) and Jacob Whetton (ninth minute).
Playing tactical hockey England overcame a strong challenge from Malaysia.
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England enjoyed an edge from the moment Mark Gleghorne put them ahead in the fourth minute with a field goal.
Malaysia pushed them hard, forced three penalty corners and a number of other scoring chances, but failed to secure the equaliser as England hung on grimly.
Three minutes from close, Ashley Jackson placed a stinging penalty corner in the goal to seal the England victory.