The Pointless presenter has been in a relationship with the 45-year-old actor and comedian - best known for playing Petronella Osgood in the sci fi series - since September 2021 and they tied the knot surrounded by friends and family on Saturday 3 December.
Osman, 52, announced on Instagram: "The most magical, joyful day on Saturday with my beautiful wife @ingrid_oliver. Surrounded by wonderful friends and family, a day full of love and laughter. We're so, so happy."
He shared a picture of the smiling couple walking up the aisle, hand-in-hand as man and wife.
Oliver is wearing a white, figure-hugging floor-length wedding gown with a fish-tail train, long, puffed sleeves and a plunging neckline. She has a bouquet of white roses and is wearing two strings of pearls around her neck, large pearl-drop earrings and a veil over her hair, which bulled into a low bun.
Osman is wearing a blue, three-piece suit with a red rose button-hole.
The TV star confirmed their engagement in May 2022.
The author of bestselling crime novel The Thursday Murder Club revealed on Desert Island Discs in 2021 that he and Oliver had begun a relationship in the summer and she had moved in with him in October that year.
He told Lauren Laverne: "[I'm] now in a place where I want to be. I'm happy with myself, I've got these beautiful kids, I've met the woman who I'm going to be with for the rest of my life.
"That thing of competition and ambition, you soon realise that rocket fuel disappears and it's about happiness and my kids bring me happiness and Ingrid brings me happiness."
Osman was married to jazz singer Sumudu Jayatilaka up until 2007, and they share adult children Ruby and Sonny.
Oliver is one half of comedy double act Watson and Oliver with fellow stand-up Lorna Watson. They had their own BBC sketch show in 2012.
As well as appearing in Doctor Who and Silent Witness, Oliver has appeared in Hollywood movies Last Christmas and The Hustle, alongside Anne Hathaway and Rebel Wilson.
Osman grew up in Haywards Heath, West Sussex with his mother Brenda Wright and older brother Mat Osman, of the Britpop band Suede.
Watch: Richard Osman on whether he thinks Alexander Armstrong would ever quit Pointless