A product of Dynamo Kyiv youth system, Boyko made his senior team debut in a match against Metalurh Zaporizhzhia on 9 May 2010.

[2] Boyko played 18 matches in Dnipro's 2014–15 UEFA Europa League campaign, including the final, which they lost 3–2 to holders Sevilla FC in Warsaw.

The other three nominees were Joe Hart of Manchester City and England, Gianluigi Buffon of Juventus and Italy, and Manuel Neuer of Bayern Munich and Germany.

[6] On 10 February 2018, it was announced that Boyko would return to Dynamo Kyiv on loan, until the end of the 2017–18 season.

[7] After six months on loan back at his native club, Boyko signed a full contract with Dynamo Kyiv.