Charges of assault were laid by a male warrant officer and a female sergeant, said police spokesperson Brig Vishnu Naidoo.
The EFF said the scuffle was in response to a death threat against party leader Julius Malema.
On Tuesday, the defence indicated that it was waiting for further particulars of the charge, and said Dlamini intended making representations to the director of public prosecutions.
A small crowd of EFF supporters toyi-toyied outside court in support of Dlamini.
EFF MP charged with Sona slap has case postponed until June
An assault case against EFF MP Marshall Dlamini was postponed until June 5 in the Cape Town magistrate's court on Tuesday.
The MP's counsel indicated that they would like the case to be heard after the general election.
Dlamini was filmed slapping a plain-clothes police officer at parliament after the state of the nation (Sona) address in February.
Charges of assault were laid by a male warrant officer and a female sergeant, said police spokesperson Brig Vishnu Naidoo.
The EFF said the scuffle was in response to a death threat against party leader Julius Malema.
On Tuesday, the defence indicated that it was waiting for further particulars of the charge, and said Dlamini intended making representations to the director of public prosecutions.
A small crowd of EFF supporters toyi-toyied outside court in support of Dlamini.