France's ambassador to Norway Jean-François Dobelle told broadcaster NRK that he had contacted Oslo authorities to request extra security around the French embassy, the ambassador's residence and the French institute and school amongst other places.
At least 84 people died and 18 are reported injured after a truck drove into Bastille Day celebrations in the French Riviera city.
The embassy opened a book of condolence outside its entrance on Friday morning, and a number of messages have already been written and flowers laid. The building's tricolore was also lowered to half mast.
"I value the support of the Norwegian people and the Norwegian government," Dobelle said to NRK.
"Terror thrives on fanaticism, hate and ignorance. In my Bastille Day speech yesterday I named terror as one of the dangers faced by both our countries," the ambassador continued.
Norway's foreign minister Børge Brende said that the country condemned the Nice attack in "the strongest possible terms".
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"My thoughts go to those affected and their loved ones. I have spoken to the French foreign minister [Jean-Marc Ayrault] and offered my condolences," Brende said to NRK.
The minister confirmed to thebroadcaster that no Norwegian casualties of the attack had been reported.