Police Scotland revealed that the 33-year-old was arrested and charged in connection with drug offences and will appear at Airdrie Sheriff Court.
As part of an ongoing operation, officers from Dumfries and Galloway Roads Policing stopped a van on the motorway near Abington at about 4.15 pm on Thursday. They searched the vehicle and found 30kg of cocaine.
DS Alan O’Brien, of the Organised Crime Unit, said: “A recovery of this size shows the hard work our committed officers are putting in to help eradicate the supply of drugs to communities.
“This type of behaviour will not be tolerated and we are determined to continue the disruption and supply of drugs throughout the country.”
He appealed for anyone with information about the distribution of drugs to contact police and added: “We will always take action on any intelligence we receive about the supply of drugs and would continue to appeal to anyone who has concerns to get in contact with police through 101.”
A full report has been sent to the Procurator Fiscal.