The teenage goalkeeper has penned a two-year pro deal with the Gunners.
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Lupinski, 16, told the club's website: "I'm lost for words, it's amazing to sign for Arsenal.
"It's going to be unbelievable, and I'm looking forward to playing for this great club, and I just can't wait to get started."
After his departure, MK Dons Academy Manager Ben Smith said: “We are incredibly proud of Rem’s achievements, demonstrating dedication, hard work, and unquestionable skill.
“His development over the past few seasons has been outstanding, and it is a testament to he and his family’s commitment and practice.
“We look forward to seeing Rem continue to progress, and we’re excited about what the future holds for him.”