The boxes were destined for an address in Birmingham before being stopped by officials at Felixstowe Port in Suffolk.
The material is in demand in the Asian community in the west Midlands and other areas with large minorities of Asian origin.
UK Border Force said that it was the first time that ground tiger claws, which may have come from tigers that were illegally poached, had been found by Customs in the UK.
The boxes also had cow urine, poisonous plants, and goat meat.
Officials examining the load also found several large cockroaches that had fermented in the boxes.
The import and export of tiger derivatives is strictly controlled under the Convention in International Trade in Endangered Species (CITES) and items can only be brought into or sent out of the EU if the correct permits have been applied for and issued, Border Force said.
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Details of the seizure have been referred to customs authorities in India, which will decide whether to take further action against the exporter.
The importer in Birmingham has also been contacted and issued with a warning following the find, Border Force said.