The Eredivisie outfit announced on their official website that the clubs had agreed an undisclosed fee this morning and the 22-year-old has since travelled to Brussels and completed the deal.
The centre-back has signed a four year contract with the Belgian giants and he expressed his delight in completing the switch before thanking his former club.
“I am very happy with the move to a traditional club like RSC Anderlecht,” Nutinck told his new side’s official website. “This is a new step in my career. I feel very confident and I will get to play in the Champions League.
"I want to thank everyone at NEC some wonderful years, without NEC I would never have been able to take this step. I look forward to working with my new colleagues and the first meeting with the fans.”
The move brings an end to a frustrating search for coach John van den Brom as he looks to strengthen his defence with domestic and Champions League campaigns to balance.
Van den Brom missed out on signing his top priority Niklas Moisander, who then joined Ajax, as well as PSV’s Timothy Derijck, before making the move for Nuytinck.
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“We have been following Bram for a while and he fits the profile of the type of player the club needs in this position," he said.
"This transfer fits the club's philosophy to sign young and talented players."