"This includes the play-off matches for UEFA Euro 2020 and qualifying matches for UEFA Women's Euro 2021," said European football's governing body in a statement.
"All other UEFA competition matches, including the centralised international friendly matches, remain postponed until further notice."
The decision followed a videoconference with Europe's 55 member federations as part of discussions on how to adapt the fixture calendar in the face of the ongoing coronavirus crisis.
The play-off semi-finals and finals that are supposed to decide the last four qualifying berths for the next European Championship were initially postponed at the end of March and pencilled in provisionally for June.