United lost 2-1 to their local rivals, who decreased the gap to the league leaders to ten points.
Van Persie wouldn't name the players involved, but said Ferguson went off, putting pictures up of them in the dressing room and referred to them as a**holes.
He told SoFoot: "The day after the game Sir Alex had photos put up on the dressing room wall of the two players taken during their night out.
'He told the entire squad: 'Boys, if we don't win the league it's because of these two a***holes who opted to go out'.
"I know the names, but can't reveal them. The manager slaughtered them. It was amazing. He'd put up photos documenting where they were, at 2am, 3am, 4am etc, to underline just how stupid they had been.
"He didn't stop there, but warned us that if he heard of any of us going out before we'd won the league we'd be out of the team.
"He was merciless, saying: 'I don't care who you are or how many trophies you've won - if you go out before the end of the season I'll sell you'.
"After that speech I had the two hardest training sessions I've ever had in my life. We went on to win the title. A manager has to know when to be tough, and when to take the pressure off."