The Dutch side are in the same Europa League group as Celtic.
Celtic crashed out of the Champions League earlier in the week, losing to Malmo in the qualification progress.
That means they will take on the Europa League Group Stages this season, with the draw taking place yesterday.
It saw them pick up a rather difficult draw. They will have to take on the likes of Turkish giants Fenerbahce, Norwegian outfit Molde and former Champions League winners Ajax.
The Dutch side also crashed out of Champions League qualifying, losing to Austrian outfit Rapid Vienna.
The two teams are therefore comparable and to look at, on paper, the two teams certainly look quite even on paper.
One man who thinks so is the Ajax boss Frank De Boer.
He spoke to De Telegraaf after the Europa League draw yesterday, discussing the meetings with Celtic.
"They are good opponents, but we definitely have a chance.
"I do believe that we can reach the next round.
"Besides being historically very nice clubs, they are also among the best clubs in terms of atmosphere. In that respect we can play in three fantastic stadiums and our guys can pick up a lot of experience.
“But it is also about performance.
"I think Fenerbahce are favourites. Celtic and Ajax then take second place and I consider us no less than the Scots. The next round reach a realistic goal. "
Of course the Ajax manager will also have added reason to get one over on Celtic. The former Dutch international spent a brief spell at Ibrox with Glasgow Rangers in 2004, to help him get into the Dutch national team for the European Championships that summer.
So Celtic fans will no doubt be reminding him of his Rangers heritage when the pair meet later this season.