Police said there were four separate pitch invasions and that they have received two allegations of assault which they said are being investigated.
Burnley substitutes allowed some children caught up in the protests to sit on the bench towards the end of the match.
German newspaper Bild find the fan trying to plant the corner flag in the centre circle "curious", but sound like they have some sympathy for the club's supporters, adding: 'They were understandably unenthusiastic about the performance of their team. "We want the supporters behind us, but you can't cross the line and come on to the pitch", he said.
"I'm with the fans in this bad moment".
The buildup to the game had been dominated by the fallout from a cancelled protest march against the board, which featured threats being aimed at Mark Walker, the chairman of the West Ham United Independent Supporters Association, by rival fan groups.
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"If you have any further queries, please do not hesitate to contact us".
LLDC insist that they have the financial means to deploy the police. A lot of the stewards on duty are stadium people and sometimes haven't had any experience of dealing with football crowds.
It was a very ugly and toxic scene. West Ham do not play at home again until Southampton visit at the end of the month after the worldwide break.
West Ham - who were set to jet off to Florida on Sunday for a five-day, warm weather training break - were not immediately available to comment on the crisis, but Brooking issued a plea to fans to shelve their concerns for the remainder of the campaign. We shouldn't run away with the idea that 50,000 people were tearing towards the directors' box.
"There was nothing close but they thought just in case, let's get them over here".