"It is their choice, that is my understanding of the speech of the Prime Minister (Theresa May)," Dijsselbloem, who is also the Dutch finance minister, said as he arrived for talks with his eurozone counterparts in Luxembourg.
"It is their choice to go for a hard Brexit and I would not be in favour of that at all," Dijsselbloem said.
Dijsselbloem was referring to an uncompromising speech by May last week in which she said curbs on migration and not trade ties would be the priority in divorce talks with the EU.
"There are principles, and on these principles, no country still remaining in the European Union will budge," said French Finance Minister Michel Sapin.
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"That is the position of France, just as much as it is the position of Germany," he added, referring to the EU's two biggest and most influential powers.
The ministers spoke as worried British MPs in London called for a parliamentary vote on Britain's future ties with the EU and warned hard Brexit was a "grave danger".
The pound also sunk on comments by French President Francois Hollande on the need for a tough EU stance, but France's EU commissioner on Monday called for calm.
Brexit "must not be a punishment for Britain or its citizens, it must not be a punishment for Europeans," said Moscovici, the EU's Economic Affairs Commissioner.
"I don't know what hard Brexit, soft Brexit means. We must have a clean, a correct negotiation in the interest of both parts.