On Monday, Akilov's lawyer Johan Eriksson told news agency TT that his client decided not to appeal the verdict. On Tuesday, chief prosecutor Hans Ihrman said he had reached the same conclusion.
"I'm satisfied with the sentence and the decision made by the court," Ihrman told Radio Sweden. "We agree on the important points of the prosecution so I can't be more than satisfied."
Akilov was given a life sentence last week for killing five people in last year's truck attack in downtown Stockholm.
The 40-year-old failed asylum seeker was also convicted of the attempted murder of 119 people and endangering the lives of 24 people, all of who were at the scene when he stole a truck and drove it down the busy pedestrian street of Drottninggatan on April 7, 2017.
He has been sentenced to serve life in prison - which can be about 16 years in Sweden - and if he is released, Akilov will be extradited back to his native Uzbekistan.