The Ivory Coast international striker scored the second goal of the game for the Amsterdam club, extending their unbeaten start to the group stage.
Erik ten Hag's side had taken the lead through Steven Berghuis, but Haller doubled the advantage two minutes before halftime.
Following his stunning debut performance in the Champions League earlier this month, he continued his impressive goal-scoring form in the competition.
Ajax striker Sebastien Haller has scored five goals in two Champions League games
Haller packed away unimaginable four goals as the Dutch goliaths raged to a 5-1 first day of the season triumph at Sporting Lisbon in what was an all around articulation triumph.
His objective on Tuesday evening implied that the striker is presently the principal player throughout the entire existence of the Champions League to net at least five objectives across his initial two appearances in the opposition.
Recently in Lisbon, Haller had turned into the main player to score four objectives on his Champions League debut since Marco van Basten for AC Milan against IFK Goteborg in November 1992.
Haller has now scored 23 goals in 33 appearances for Ajax, as well as two goals in four international games for the Ivory Coast.
Ajax is in Group C of the Champions League this season, in what appeared to be a well-balanced draw, with Borussia Dortmund of Germany the favorites to advance to the Round of 16.
Following their flawless start to the competition, the Amsterdam club are now strong favourites to join them, while Turkish side Besiktas are still without a point after losing their first three games.
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