The Croatian forward joins Ajax on a four-year deal and his arrival is a significant coup for the club, who have reportedly beaten a host of potential suitors in the race to sign Muric.
The likes of Manchester United and Chelsea were said to be keen on securing his services after he became a free agent following his departure from Dinamo Zagreb.
A club statement read: "Ajax have reached agreement with Robert Muric.
"He signs a contract which begins on July 1, 2014, and runs until June 30, 2018.
"The 18-year-old youth international played last season with Dinamo Zagreb. There will be a number of formalities to be fulfilled before Muric (will) play for Ajax."
Muric scored twice for Croatia at last year's FIFA Under-17 World Cup.
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