A spokesperson for Eurotunnel said police and paramedics were called after a person was found unconscious on tracks near the French terminal overnight.
French newspaperLa Voix du Nordreported that he was the twelfth migrant or refugee to die in France since the start of this year.
At least three refugees have also died after being hit by vehicles on France’s motorways so far this year.
Some were crossing the country to reach Calais, after risking their lives to reach Europe in journeys over the Mediterranean or on Western Balkans route.
In pictures: Calais crisis intensifies
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An estimated 5,000 refugees and migrants displaced from countries including Syria, Libya and Eritrea are believed to be camped in and around the French port.
A surge in people attempting to cross the Channel earlier this year prompted a string of measures to increase security at the terminal, including extra fencing and the deployment of more border force search and dog teams
At its peak, which coincided with French ferry strikes, the number of attempts to board lorries or trains was around 2,000 a night but that figure has fallen to around 150.
Additional reporting by AP and PA
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