Marouane Fellaini and Robert Huth have both been charged with violent conduct by the Football Association.
The pair were caught by the TV cameras clashing in the penalty area in the first half of Manchester United's 1-1 draw with Leicester on Sunday.
Huth appeared to pull Fellaini's hair, with the United midfielder responding by swinging an elbow into the neck of the German.
A statement from the FA read: "Marouane Fellaini and Robert Huth have both been charged for alleged acts of violent conduct, which were not seen by the match officials but caught on video.
"The Manchester United midfielder and Leicester City defender were involved in an incident in the 21st minute of their game on Sunday.
"Both players have until 6pm on Wednesday 4 May 2016 to reply to their charge."
Leicester captain Wes Morgan said he was emotional and drained after a long night celebrating winning the league at Jamie Vardy's house.
The Foxes are Premier League champions after Tottenham failed to win at Chelsea - drawing 2-2 at Stamford Bridge leaving them an insurmountable seven points clear with two games to go.
"I can't quite believe it yet not quite sunk in. There was lots of celebrating last night and it was a late one! I'm a bit drained and emotional to be honest," Morgan told Sky Sports News.
"There was a few tears, laughs, cries, kisses and I'm a bit emotional too.
"The boys were jumping on each other, standing on furniture. I hope Vard's (Jamie Vardy) house is alright!
"Looking at the start of the season I never thought I'd be in this moment now. It will go down in history and it's an achievement that might not be achieved again.
"I can't wait to get my hands on the trophy!"
Leicester have claimed a stunning Barclays Premier League title win - here's a look at every player that helped them do itRead the full story ›
Former striker Gary Lineker believes Leicester achieved the impossible after the Foxes were crowned Barclays Premier League champions.
Lineker will now have to present an episode of Match of the Day next season in his underpants following a pledge made on Twitter after the Foxes' 2-1 win over Chelsea in December.
Lineker told Radio 5 Live: '''I just think it's generally the biggest sporting shock. I can't think of anything that surpasses it. When it's your own team it's too extraordinary. Too difficult to put over in words.
''To be honest I got a bit emotional at the end of the game. I just couldn't hold it back. It was quite hard to breathe the last few minutes to be honest.
''I've followed them since I was a little kid...I saw them in a cup final - lose - that was the closest we ever got to big glory. Won the league cup a couple of times but this is just something else. This is actually impossible.
''There were no odds that I would have taken at the start of the season. No odds. You could have given me 10 million to one and I'd have said 'Nah, it's a waste of a quid'.
''It's extraordinary. I'm from there and I went to play for them for a couple of years. I even kind of part owned them for a while when they were in trouble.
"To see where they are now and to enjoy this moment especially with my family, it's incredible.''
The Midland's city is in carnival mood as Leicester City face Manchester United in a match that could secure them the championship crown.Read the full story ›
With Leicester City edging closer to their Premier League title, some of the city's most famous buildings have been lit up in blue.
While the Foxes could seal glory by winning against Manchester United on Sunday, there is still a chance they may lose out to second-placed Spurs.
However, in anticipation of three points at Old Trafford, some buildings across Leicester have been lit up in blue, and pictures of Jamie Vardy and Riyad Mahrez plastered on walls.
Harry Kane insists Tottenham's title challenge is not over but admits Monday's slip-up against West Brom has made catching Leicester "unlikely".
Mauricio Pochettino's side were held to a 1-1 draw by the Baggies at White Hart Lane as Craig Dawson cancelled out his first-half own-goal to leave Spurs seven points adrift in the race at the top.
Leicester need only three points from their three remaining matches to be crowned champions, meaning Claudio Ranieri's men can complete their fairytale season with a win at Manchester United on Sunday.
"Is it over? I don't think so, there's still three games left," Kane said.
"If they lose the next game you just never know the pressure. It makes it a lot, lot harder now we haven't won. It's not in our hands, it's in Leicester's hands.
"They'd have to lose two and draw one and we'd have to win all three. It's not impossible but it looks unlikely the way their season has gone so far.
"But we can't control them, we haven't been able to control them for the last few weeks. They've been doing their job, as have we, it's just a shame we didn't get the three points."
Leicester are a step closer to making their dream a reality after Claudio Ranieri's men swatted aside Swansea 4-0Read the full story ›
Leicester boss Claudio Ranieri backed Riyad Mahrez to rediscover his form and insisted his title-chasing squad of "Caesars" can cope without the suspended Jamie Vardy.
The Foxes host Swansea on Sunday five points clear at the top of the Barclays Premier League with four games left, and can extend their advantage to eight points with second-placed Tottenham not in action until Monday.
Algeria international Mahrez has scored just three goals in his last 17 games but bagged a hat-trick in Leicester's 3-0 win at Swansea in December, and Ranieri believes he holds the key to the Foxes' success.
"He is fantastic. Riyad is our light," the Italian said. "When he switches on, wow, Leicester change colour - that is the truth."
Vardy misses out following his dismissal in last weekend's 2-2 draw against West Ham, and could be hit with a further ban depending on a Football Association hearing next week for his reaction to referee Jon Moss following his second yellow card for diving.
But Ranieri feels his team can overcome the England striker's absence.
"Without our goalscorer, it is not easy to play," the manager said. "We give, every time, the maximum but I am sure we will give a little more to win the match.
"I think I have 24 stars. I have 24 Caesars - that is our strength. There isn't one Caesar but there are the other 23."
Jamie Vardy is suspended for Leicester against Swansea after being sent off in their 2-2 draw with West Ham last weekendRead the full story ›