England are scheduled to travel to Zimbabwe to play five one-day internationals in November and December 2004.
The government have asked them not to play those games because they do not like the president of Zimbabwe, a man called Robert Mugabe.
But the International Cricket Council and the Zimbabwe Cricket Union both want the tour to go ahead, because they don't think what is happening politically in a country should matter in sport.
The row has been going on for a while with England refusing to play a game in Zimbabwe in the 2003 World Cup.