The Speaker of Federal Parliament says she is not going to ban MPs from using social media like Twitter in the chamber.

Anna Burke says she cannot make rulings about comments made, but has warned MPs to be careful about their use of social media.

The decision follows yesterday's Question Time when Ms Burke was he made about Opposition Leader Tony Abbott.

The request is thought to have been a first for Federal Parliament.

In response, Ms Burke today said: "While I cannot reasonably adjudicate on members' private communications, I remind members that they should have regard for the perceptions the wider community will have [on] any comments that is made by them including by social media.

"They should also be conscious of their relationship with other members and seek to have a level of discourse that enables civil relationships to be maintained between members.

"My role is to adjudicate on the proceedings of the House.

"It is not practical to extend this role to adjudicating on a range of matters incidental to proceedings, such as private communications, conversations or use of social media when it is thought they have come from the chamber."

Protesters banned

Yesterday's Question Time was somewhat eventful, with the House of Representatives twice interrupted by members of the public yelling at the Prime Minister.

Julia Gillard had just finished answering a question about the budget when a man in the public gallery called out "you liar".

This was later followed by a female protester calling her "Juliar".

Ms Burke subsequently banned a total of five people for disrupting proceedings.

She told Parliament the five had not been signed in by any members of Parliament and that, decided in conjunction with the Senate President, they would not be able to return this fortnight.

"The disruptive behaviour from the gallery yesterday was totally unacceptable," Ms Burke said.

"I remind the House that admission to the gallery is a privilege and people attending must adhere to certain standards of behaviour.

"Visitors are required to be silent and to refrain from attempting to address the House, interjecting, applauding or conversing."