The teeth, estimated to be 10 metres long are the first fossils of a dinosaur belonging to the Tyrannosauridae family found in Japan, Fukui Prefectural Dinosaur Museum officials said.
"Other fossils have been found in Nagasaki as well, leading us to reaffirm that various dinosaurs existed there," said Kazunori Miyata, Chief Researcher at the museum.
The fossils were unearthed in May 2014 from the same area but whether they belong to the same individual remains unclear, the museum added.
The deformed tooth could have been larger than the other in its original state, research officials from the museum said.
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The fossils will be on display at the Nagasaki Science Museum and while their replicas will be displayed at the Fukui Prefectural Dinosaur Museum from Friday, Kyodo News agency reported.
Tyrannosauridae dinosaurs are known to have existed in North America and Asia in late Cretaceous period (83 million to 66 million years ago), with their body size ranging from 5 meters long to over 10 meters long.