The 21-year-old Moroccan had a loan spell with Portsmouth earlier this season, scoring once in 10 games.
"He fits the profile of what we're looking for in a forward - he's mobile and has potential," said Brewers boss Jimmy Floyd Hasselbaink.
"We think we can develop him and make him a better player. We like that he plays with energy and can get around the pitch for a big forward."
Details of any transfer fee or the length of Ahamde's contract with Burton have not been disclosed.
He did not make a senior appearance for Norwich but played twice for their under-21 side in the 2019-20 EFL Trophy, scoring in a 2-1 win at Crawley Town.
"The manager told me it is a good platform for me to show what I can do and to obviously work for him is really exciting as well," Ahadme said.
"For a tall striker I believe in my footwork. I also like to link up play and combine with other team-mates, so hopefully I can get off to a great start and feel ready to go."
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