The suspects caused “deep and irreversible suffering” to relatives of the killed, the court was told.
Prosecutors said the four recklessly used a Russian missile to bring down the passenger jet, killing all 298 passengers and crew.
Public prosecutor Manon Ridderbeks made the sentence demand on the third day of a presentation of evidence supporting the indictment on Wednesday in the Netherlands. The suspects are being tried in absentia.
“The downing of MH17 with a Buk missile brutally ended the lives of all 298 people on board. Incredibly deep and irreversible suffering has been caused to the next of kin,” Ms Ridderbeks told the court.
Anton Kotte, who lost his son, daughter-in-law and his 6-year-old grandson when MH17 was shot down, said the sentence demand felt like “a new start,” but he added that with prosecution arguments and the deliberation of judges still to come, and the possibility for appeals, justice still felt a long way off.
“We just started coming in the right direction… but the outcome will be in the future,” he said outside court.
Life sentences are rare in the Netherlands, where the sentence means the convicted person spending the rest of their life in prison.
But Ms Ridderbeks said it was a necessary in the MH17 downing because of the extreme nature of the crime and to act as a deterrent.
“It must send an unequivocal international message that aviation deserves the greatest possible protection and that gross acts of violence against it will be punished severely,” she said.
Prosecutors accuse Russians Igor Girkin, Sergey Dubinskiy and Igor Pulatov as well as Ukrainian Leonid Kharchenko, who were separatist rebels fighting Ukrainian government forces in 2014, of forming a team that aimed to bring down Ukrainian planes using a missile system trucked in from a Russian military base.
Prosecutor Thijs Berger told judges earlier on Wednesday that it’s legally irrelevant that the suspects wanted to shoot down military and not civilian aircraft.
“Legally speaking they were ordinary citizens, they were not allowed to commit any violence,” he said.
The trial is being held in the Netherlands at a high security courtroom near Schiphol Airport because nearly 200 of those on board were Dutch citizens. Victims came from a total of 16 different nations.
Wednesday’s sentence demands came amid soaring tensions between Moscow and the West over a Russian troop build-up near Ukraine that has drawn fears of an invasion. Russia has denied plans to attack its neighbour.
Defence lawyers for Pulatov, who is the only suspect who is represented in court, will make their presentation to judges in March. Verdicts aren’t expected until September next year at the earliest.