Second half goals from Ashley Young and Javier Hernandez sealed a comfortable victory, as Sir Alex Ferguson fielded a strong team at the Amsterdam Arena.
The Scottish coach was pleased to record the win, but was not overly impressed by his side’s performance.
“I’m delighted by the scoreline, but I thought it was a very ordinary performance by us,” Ferguson told Channel Five.
“We didn’t reach any great heights in the game, but we did improve in the second half and we probably deserved to win it.
“I didn’t think we played well at all. There was no rhythm to our game.
“Ajax can make it difficult with the way they play when they close their midfield up. They pressed the ball really well.
“We didn’t get any tempo to our game at all in the first half. In the second half, we did improve a lot, we missed some good chances.
“Not a brilliant performance in the second half, but good enough I think,” the trainer concluded.
The only downside to the victory is an injury to in-form winger Antonio Valencia, who has picked up a hamstring knock and will be out of action for up to a month.
“He has a hamstring injury unfortunately. It will be four weeks. It is a bad blow for us,” Ferguson concluded.
United don’t play this weekend, with their next game the return fixture against Ajax at Old Trafford next Thursday.
By Gareth McKnight