The couple reportedly tied the knot at a boutique hotel in Marrakesh on Friday.
Vogue has released photos of Elba, who wore a custom black suit by Ozwald Boateng and black tie, and his bride, who wore an off-the-shoulder white A-line gown by Vera Wang and long veil.
Later, she changed into a V-neck style embroidered dress with pearls and gemstones and finished with couture lace.
The celebrations were spread out over three days.
Friends and family attended a "colours of the Souk" themed dinner the night before the wedding, the fashion magazine reported.
It said they will today attend an all-white party at the Mandarin Oriental, which will emulate the atmosphere of a festival.
The TV and film star, 46, and Dhowre, 29, had reportedly been dating since early 2017.
In February 2018, Elba delighted crowds as he got down on one knee and proposed to his girlfriend at a film screening.
The Luther and Wire actor was greeted with rapturous applause from the audience as he popped the question to Miss Dhowre - a model and former Miss Vancouver - at a cinema in east London.
He had been at the venue for a preview of his directorial debut Yardie.
Elba, who was born and raised in east London, previously married Hanne Norgaard and Sonya Hamlin.
The actor has been tipped to take over from Daniel Craig as James Bond.