According to The Sun, the 42-year-old British comedian’s big day took place in Remenham Church near their home in Henley-on-Thames.
Amongst the celeb guests were Noel Gallagher and British comic David Baddiel and the couple’s nine-month-old daughter Mabel was also present.
A source told the website: 'They wanted a very small, personal affair, with their daughter Mabel, family and close friends rather than a circus. It was a lovely occasion. Mabel was guest of honour.'
Russell is also said to have spent $4000 to hire a New Orleans paddle steamer to transport the wedding party to an India-themed reception where staff wore saris.