They have made it through to the semi-finals of the Champions League and claimed the scalps of Real Madrid and Juventus along the way.
They are also battling it out at the top of the Eredivisie with PSV Eindhoven.
Barcelona are one of the top teams expected to take the best of their young talents.
Frenkie De Jong is already joining the LaLiga club in the summer for around £65million.
The 21-year-old midfielder has impressed on the biggest stage and has been touted as one of the brightest young talents in world football.
He may not be the only Ajax player who will be joining Barcelona next season, though.
Matthijs de Ligt has been linked with a move to the Spanish club with De Jong reportedly advising him to join him.
The 19-year-old captain will be leaving the Dutch club in the summer but it is just a question of the destination.
Both players could fit in nicely at Barcelona with the club planning for the future.