The former Netherlands Under-21 trainer has joined compatriot Louis van Gaal at Old Trafford and will work alongside Ryan Giggs, Marcel Bout and Frans Hoek at the club
Stuivenberg, who has given up his post at the helm of Netherlands Under-21s, starts the role of assistant coach at Old Trafford immediately.
With Louis van Gaal not currently at United as he leads Netherlands' charge in the World Cup, the 43-year-old will begin work alongside assistant manager Ryan Giggs.
Stuivenberg previously led Holland's Under-17s to European Championships wins in 2011 and 2012.
He is the fourth confirmed member of van Gaal's entourage alongside Giggs, Marcel Bout and Frans Hoek.
The futures of the likes of Nicky Butt and Phil Neville, who worked under David Moyes, have yet to be announced.
Van Gaal's Netherlands side are through to the semi-finals of the World Cup after beating Costa Rica 4-3 on penalties after 120 minutes, and will play Argentina.