Two home fans ran onto the pitch in the 27th minute of the game and Dyche was not impressed by the reaction of stewards.
"It seemed a long time before anyone did anything. Our players had to eventually defend themselves and that can't be right anywhere in football", he explained.
Both fans were arrested, whilst another fan was escorted out of Ewood Park after setting off a flare.
"To think you go to the extreme [of escorting fans] and then someone just wanders onto a football pitch is a bit bizarre at least. There's all kinds of things going on in the world, and when people get on a football pitch it has to be stopped very quickly", the Burnley boss added.