The neutral venues are where the home matches of the national teams will be played.
Spectators won't be allowed to attend matches when teams from Belarus host.
Russian club and national teams were suspended from all Uefa and Fifa competition after the invasion of Ukraine.
Alexander Lukashenko is a close friend of Putin.
Russia launched a military invasion of Ukraine on 24 February.
The world and European football governing bodies have banned Russia from competing.
It was not possible to say when Russia would be allowed to compete again.
At this moment, our decision was the right one. He said on Thursday that nobody knows what will happen tomorrow.
We are waiting for peace to come, but for now it stays like that. Football will be the least important thing.