Two of the club's summer signings featured in the 2-0 victory on Saturday and the 42-year-old coach was pleased with the displays of both players
Poulsen played for an hour of the encounter, while Babel was brought on at half-time, with the latter assisting Jody Lukoki's late goal, to the delight of his new coach.
"It was a nice move [which led to the second goal]. He played both on the left and as centre-forward," commented De Boer on Babel's second-half showing.
"He can play in both positions. We'll look at each game individually and see where we can best use him."
Poulsen was brought in on a free transfer this summer and after starting on Saturday, De Boer is hoping the 32-year old's vast experience will be a major asset to his side.
"Christian played capably. He brings experience and calm to the team," he stated.
Ajax kick off their Champions League campaign when they travel to Germany to face Borussia Dortmund on Tuesday.