Morris had not been detained at the time of the incident, but the skilful midfielder has since been implicated, and will answer to the police.
Along with Terry and a third footballer Wimbledon's Des Byrne, Morris has been charged with affray and actual bodily harm.
All three have been bailed and will appear before Horseferry Road magistrates on Wednesday.
Both players look set to be banned from playing for England until the matter is resolved, although only Terry has a realistic chance of being named in Sven Goran Eriksson's squad.
Morris has not been a regular under Claudio Ranieri, and it is thought that even before the events of Friday, Chelsea had been seeking a buyer for their midfielder.
The Blues have already fined both Terry and Morris the maximum two weeks` wages for breaching club rules by being out in the early hours of the morning under the influence of drink.
Meanwhile, Chelsea have been linked with an £8 million move for Blackburn's David Dunn.
There are suggestions that Rovers, who recently spent around £7.5 million on Andy Cole, could cash in on their popular England Under-21 star, despite his form this season.
The left-footed midfielder was tipped for an England call-up late last year, and when Chelsea sell Sam Dalla Bona back to Italy in the coming weeks, they may well use the money they receive to finance a deal for Dunn.
