The couple sparked speculation last year when they were both spotted wearing what looked like wedding bands.
Hot Right Now singer Ora has now confirmed it, saying the pair quietly exchanged vows and that it was "perfect".
"Yes [I am married]," she said on Heart Radio Breakfast.
"I am officially off the market people."
Ora - who was promoting her new song You Only Love Me - went on: "I chose to keep it more private and keep it to myself more but with my new video I am playing on what could have been.
"When the rumours came out is she, isn’t she? I wanted to play on it. I wanted to do a wedding that didn’t go to plan… that is not to say that is actually what happened."
Opening up about walking down the aisle with the filmmaker, the 32-year-old said it "was exactly, exactly how I wanted".
She added that the nuptials were "nice and sweet" although she didn't share any more details of their special day.
She also said that she and her new hubby, 47, may throw a big party to celebrate at some point.
Ora also revealed that she wasn't yet sure whether she would take her husband's name or keep her own.
Ora and Thor director Waititi started dating each other in 2021 and last June it was reported that they had got engaged.
Just weeks later, rumours started swirling about them saying "I do" at a secret summer wedding.
Watch: Rita Ora reveals the truth about Tessa Thompson ‘throuple’ rumours