Fans jumped on the vehicle, smashing its roof and windscreen after England's 2-0 win against Sweden on Saturday.
A Met Police spokesman said no arrests have been made at this current stage.
"Being both British and Swedish, we were on the edge of our seats during the game and we would like to say 'grattis!' (that's congratulations in Swedish) to the England team for getting through to the semi-finals".
The victory over Sweden has sent England through to their first World Cup semi-final since 1990.
In Nottingham, a group of supporters were seen dancing on top of a bus shelter, while other clips from Manchester and Birmingham showed people on top of buses with their shirts off.
Nearly 20 million people in Britain watched England reach the Soccer World Cup semi-finals on television, viewing figures showed on Sunday, not accounting for the many more who watched in pubs.
They will now face Croatia in the last four and, should they progress, come up against either Belgium or France in the final on July 15.