The ACT Education Minister has admitted she made a mistake by re-tweeting a highly offensive message aimed at her federal counterpart during a row over schools funding.

The tweet sent last Friday evening was a photo of the ACT and New South Wales Education ministers with their Federal colleague Christopher Pyne standing in the background.

The text above the photo uses offensive language to describe Mr Pyne.

"As the NSW Education Minister rails against the Gonski betrayal... Pyne is smugly loitering. What a c**t," the tweet reads.

Ms Burch re-tweeted the message to her followers just hours after her state and territory counterparts had met with Mr Pyne in Sydney.

He had told the gathering the Federal Government no longer intended to honour the Gonski school funding arrangements.

That decision has since been reversed but Ms Burch was and continues to be highly critical of the announcement.

In a statement this afternoon she said that the tweet was forwarded to her followers in error and removed from her twitter account within minutes.

A screenshot of the message has been circulated around the ACT Legislative Assembly.