The two players were involved in an ugly confrontation in Sunday’s game between their teams, with both of them being sinbinned.
They they then reportedly had to be restrained from carrying on the confrontation on the sidelines.
England, who was also fined £300 after accepting his guilt, expressed remorse at how events had transpired.
“I fully accept the suspension handed down by the judiciary,” he said.
“I’d like to apologise to Danny Brough, my club and all our supporters. It happened in the heat of the moment and is something I completely regret.”
Warrington football manager Karl Fitzpatrick made it clear that the Wolves fully supported the RFL’s decision in the matter.
“As a club we support the disciplinary action taken by the RFL in this instance,” he said.
“This behaviour is totally unacceptable and goes against the spirit of our club and the game. Anthony admits this was wholly inappropriate and has apologised for his actions.”