The FA had no option but to abandon plans for the Wembley friendly as the Metropolitan Police did not have the resources to protect supporters and both sets of players.
The FA said: “We have received clear advice that due to the sporadic and widespread nature of the unrest there are significant concerns in relation to the available emergency service resource to safely police the fixture.
“In light of these concerns regarding policing and emergency service provision the authorities have advised us that under the terms of our safety certificate we are unable to host the fixture, or guarantee the safety of visiting supporters or the teams. For these reasons the game cannot go ahead.
“The FA wishes to make clear it is in complete agreement with the advice of the Metropolitan Police, the Government and Brent Council. The Dutch FA (KNVB) were informed of the decision prior to their scheduled departure from Holland, and we thank them for their co-operation and support during this difficult period.”
Club England managing director Adrian Bevington said the England players supported the decision to call off the game.
“On behalf of the squad we would like to say that we are disappointed that the game will be called off, but obviously we understand the reasons behind the decision and we support it,” he said in a statement.
“We’ve all seen the terrible pictures on the television and the most important thing at this time is the safety of the fans and the general public.
“At this time the whole squad would like to appeal for calm and an end to the disorder which has been ongoing.”
The FA confirmed general admission tickets for the match would be refunded in full.
After four Carling Cup matches at West Ham, Bristol City, Crystal Palace and Charlton scheduled for Tuesday night were postponed, neither Bernstein nor Bevington would comment on the possibility of the same happening to games in this weekend’s opening round of Premier League fixtures.
However, it is understood the start of the top-flight season could come under threat if the level of violence witnessed last night continues in the coming days.
Any decision to postpone Saturday's fixtures will not be taken until Thursday at the earliest and will depend solely on whether local police forces felt they had the resources to oversee matches.
There is no concern regarding potential trouble at any of the games, but over the ability of police to provide officers.
Three Premier League matches are due to take place in London on Saturday: Tottenham v Everton, Fulham v Aston Villa and QPR v Bolton.