NSW Education Minister Verity Firth has revealed her husband has been charged with drug possession.

Matthew Chesher has resigned from his job as chief of staff to NSW Roads Minister David Borger. It is believed he was allegedly found in possession of one ecstasy tablet.

Verity Firth. Credit:Simon Alekna

"Last night my husband, Matthew Chesher, was arrested by the Pyrmont police and charged with minor drug possession," Ms Firth said in a statement today.

"My husband has admitted to making a very big mistake.