It was the 1-0 goal in the 2-0 win against Tottenham on August 29 that was voted goal of the month. Elanga received the ball in the penalty area, turned away from a defender and placed the ball inside the post.
"It means a lot to receive awards like this, and the victory was even better," the Swedish international said in a statement to the Premier League website.
Newcastle are sixth in the Premier League after three games and next they take on Leeds away on Monday.
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