Since it was spotted last week the whale had prompted a large-scale rescue operation involving firefighters, scientists and the maritime police.
Experts said on Wednesday they were stopping rescue efforts for a humpback whale struggling in shallow waters off the German coast and had given up hope for its survival.
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The 13.5-metre mammal has been floundering off Germany's Baltic Sea coast for more than a week, having first been spotted stuck on a sandbank on 23 March near the city of Lübeck.
The creature managed to free itself but then became stuck again several more times near the city of Wismar. Coverage of its struggle for survival has gripped much of the German public.
Experts had hoped the whale's odyssey would end with it finding its way back to its natural habitat in the Atlantic Ocean.
But on Wednesday scientist Burkard Baschek, who had taken part in the rescue efforts, told reporters: "We are convinced that the animal is going to die."
The whale's ordeal had severely weakened it, its breathing had become "very, very irregular" and it was exhibiting "virtually no" reaction to the presence of human beings, he added.
The chances of it freeing itself again were "very low" and any further rescue efforts would therefore "be pure animal cruelty."
Since it was spotted last week the whale had prompted a large-scale rescue operation involving firefighters, scientists and the maritime police.
"Now we have the task of giving him some peace," said Till Backhaus, the environment minister for the state of Mecklenburg-Western Pomerania.
The animal will now "have to depart this life," he said.
An exclusion zone of 500 metres will be put in place around the whale in order to avoid disturbing it.
The authorities have ruled out putting the whale to sleep, saying this would be too dangerous both for the whale itself and those taking part in the operation.
In the case of its death, Backhaus said it would be transferred ashore for investigations to determine the cause of death.