Premier League officials are likely to question how security at the stadium weren't able to stem the flow of furious fans, with so many pitch invasions in one match a rarity in modern, top-tier football.
By the end of the game only club legend Trevor Brooking was still in the directors' box as fans vented their feelings about how the East London outfit is run. Joint-owners David Gold and David Sullivan are understood to have left their seats for their own safety.
Photographs on Twitter appeared to show some young West Ham fans being allowed to sit on the Burnley bench as things turned toxic in the stands.
The Hammers then conceded a third following a mistake from Hart, who was then approached by more angry supporters in a third pitch invasion.
West Ham called an emergency meeting with the publicly owned stadium's operators and said it was "committed to taking decisive and appropriate action" against the perpetrators.
There is no place at any level of the game for what happened at the London Stadium today. "There will be no further comment at this time".
"I don't know all the politics at West Ham, I've not been here long enough", Moyes said.
"I've said all along, Joe's been good, and I've got competition in some places so you have to play well", said Moyes.
"I think there was a couple of games where I wasn't quite so happy that we didn't do as well as we should have".
"It's that tight and sometimes you think your position gives you a cushion but it's not because you need the points so we are all fighting hard".
"But overall, we should have been in front with the chances in the first half - and we had played well".
The Clarets fought back to overturn a half-time lead and claim their first victory in 12 games with a rousing second-half display. We needed the supporters with us in a different way.
"We've got six games remaining at home and we think that in those six games we can accumulate enough points to stay in the Premier League".
"I can honestly say I never saw any police".
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