Jack McConnell agreed with the health and justice ministers, who have both condemned the wine for its high alcohol content, The Scotsman reported.
"It's not only a drink which is particularly attractive to younger people for a number of reasons, but it is also a badge of pride amongst those who are involved in anti-social behavior," McConnell said in an interview with the BBC.
J. Chandler & Co., which distributes Buckfast, said the government is to blame for anti-social behavior for not punishing the individuals responsible.
"The message they are sending out is the wrong one," said a Chandler spokesman, Jim Wilson. "They are blaming the alcohol and the drugs; the message that should be going out is if you commit a crime you will be dealt with by the law, and they are being very foolish in suggesting anything other than that."