Vanunu, 62, married theology professor Kristin Joachimsen in Jerusalem in 2015 after first meeting in Israel almost a decade earlier.
She applied for him to be allowed to come to Norway under rules for family reunification and a spokesman for the Norwegian Directorate of Immigration said permission had been granted.
Vanunu was jailed and served an 18-year sentence after discussing his work at Israel’s Dimona nuclear reactor with a British newspaper in 1986. The interview led experts to conclude the facility had produced fissile material for as many as 200 atomic warheads.
After his release from jail in 2004, Israeli defense authorities imposed strict conditions on Vanunu, including from traveling abroad, alleging he was a security risk and might have new secrets to tell.
Joachimsen said the Israeli restrictions were up for review in November and expressed hopes they would be lifted. "We have waited long enough for the case to be solved on Israel's side," she said.
The restrictions, upheld by Israel’s Supreme Court, have been condemned by international human rights groups.