According to Gothenburg GT online, who first wrote about the news, the Norwegian woman was said to have left the country and received weapons training in Syria, and planned to carry out a suicide bombing.
In a telephone interview with Norwegian TV2, the woman dismissed the claims.
"Are you crazy? I am a Muslim. Islam does not allow it. Why should I blow myself up? It is so ridiculous."
She said that she went to Turkey to study Arabic.
Her mother also denied the allegations.
"She's not a terrorist. She is a Muslim girl, Muslims do not do such things. It is her friends who are in Syria."
Swedish police were requested to assist Norway by issuing information about the potential threat to police officers on duty, especially in western Sweden.
The Norwegian warning has gone out internationally through Interpol as a so-called orange notice, which means a warning of a potential threat to public safety and security.