"I am informed by the Ministry of Health that these substances are understood to have been found in products called Spice Gold, Spice Diamond and Tai High," Mr Dunne said.
The drugs were expected to be off the shelves by the end of next week, with the notices coming into effect on April 6.
Earlier this month, Mr Dunne announced a ban would come into force on April 9 for the stimulant substance DMAA, a common ingredient in party pills and some weight loss and sports performance supplements.
Labour MP Iain Lees-Galloway said although his party had supported the interim law, there were concerns it was taking too long to establish a permanent replacement.
"The first temporary ban was initiated last August. If legislation is not passed before August this year, that ban will expire and those drugs could be back on the shelf," Mr Lees-Galloway said.
"What is needed is a comprehensive and scientific approach to regulating new substances. We can not go on continually banning new substances after they have come on to the market."