The dolphin shows are a popular attraction at Parc Asterix, which normally has some two million visitors a year, but have long been a target of animal rights activists.
“We've been thinking about this for several years,” the park's managing director Nicolas Kremer told Le Parisien newspaper, saying the site wanted to focus instead on rides and other shows.
He said the dolphins would be transferred to other aquariums in Europe in the next two months, adding: “Reintroduction in a natural environment is not possible for these animals raised in captivity.”
A ban on captive breeding of dolphins and other marine mammals as well as their use in shows is a key part of the draft law, with the debate due to begin on Tuesday.
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A previous effort to outlaw the practices by decree in 2017 was thrown out by the Council of State, France's highest administrative court, but animal rights group have kept up pressure for the ban.
“These associations think that captivity is abuse, but I can tell you that we have always ensured the wellbeing of our animals,” Kremer said.
The park, based on the beloved Asterix the Gaul comics, is hoping to reopen for the busy summer season on April 3rd if coronavirus restrictions are lifted by then.