Video from the agencies of Zelenskiy voting:
Thread from our Kyiv correspondent Christopher Miller. He’s on Twitter at @ChristopherJM
Our Ukrainian Service is of course live blogging the elections today.
AP reporting that Zelenskiy also said that one of the first tasks of the country's new parliament should be to consider lifting a law granting immunity from prosecution for members of parliament.
He told reporters "at last, we must take away immunity."
More on Zelenskiy's comments after voting from our Kyiv correspondent Christopher Miller.
Ukraine's future prime minister must be a "professional economist."
Zelenskiy told reporters after casting his ballot at a polling station that Ukraine's next prime minister "must be an absolutely professional economist with no political [past]."
"I would very much like this to be an absolutely independent person who has never been a prime minister, a speaker, or a leader of any [parliamentary] faction," Zelenskiy said. "I am already holding consultations, talking...with some people."
While Zelenskiy may propose a candidate for the position of the prime minister, it is Ukraine's parliament that must approve him or her by a simple majority.
And among those reported violations are fake bomb threats, according to the Kyiv Post.
According to the Interior Ministry, police have received 382 reports of electoral violations.