The media mogul tied the knot in March with the actress, who was previously in a long-term relationship with Mick Jagger.
“Feel like the luckiest and happiest man in the world,” Murdoch tweeted after their union.
The Kremlin has repeatedly denied formenting or supporting separatist rebels, who shot down a Malaysia Airlines plane using a missile system supplied from Russia, killing all 298 people on board.
Germany and France have led efforts to implement a peace deal agreed in Minsk but there has been no end to the conflict between Ukrainian forces and pro-Russian separatists, which has killed more than 10,000 people since it erupted in 2014.
“We are concerned by Nato decision making,” the Russian President said.