Charlie Austin scored his fifth goal in four appearances as Southampton condemned West Ham to a fourth successive Premier League defeat.
Austin broke the deadlock in a cagey encounter with a side-foot finish following Ryan Bertrand’s pull-back.
Dusan Tadic made it 2-0, collecting a pass from Austin and rounding Adrian before finding the empty net.
James Ward-Prowse’s low finish ensured West Ham remain without a league win in their new London Stadium home.
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