According to local reports, the supporter went over a barrier before plunging to the ground.
“We can confirm that a spectator fell from the stands just after kick-off in the match between England and Croatia at Wembley,” read a statement from the stadium.
“The spectator was given on-site medical attention and was then taken to hospital in a serious condition.
“We will continue to work with UEFA to ensure the matter is fully investigated and we are continuing to monitor the situation.”