In a letter to the Norwegian Academy of Literature and Freedom of Expression earlier this week, the country's Justice Minister Anders Anundsen said "no" to a request to waive passport requirements for Snowden.
Also, he confirmed that Snowden risked being extradited to the United States, which is seeking to prosecute him for espionage.
"If the courts have concluded that the conditions for extradition are fulfilled, the ministry will decide that the request for extradition will be granted," Anundsen wrote in a letter.
The letter came after the Academy asked Anundsen and Prime Minister Erna Solberg last month to take all necessary actions to allow Snowden to come to Norway and pick up the prize during the awards ceremony due in September.
In early June, the Norwegian Academy of Literature and Freedom of Expression announced that Snowden had won the Bjornson Prize, named after a Norwegian Nobel literature laureate, "for his work protecting privacy and for shining a critical light on US surveillance of its citizens and others."
A former analyst at the US National Security Agency, Snowden has been living in exile in Russia since 2013 after disclosing information about mass spying programs by the United States and its allies.