The health ministry has issued a statement urging the public to only buy the medicines they need.
The announcement comes after several reports of people seen rushing to the pharmacy to stock up on medicines.
Health Minister Constantinos Ioannou said there was no need to buy more than necessary.
The Association of Pharmaceutical Companies of Cyprus (SFEK) has assured that there is no reason to worry as there is currently a sufficient supply of medicines on the market to meet the needs of the citizens.
The health ministry has urged people to stick to the drugs prescribed by their doctors, in order to ensure that all people who need treatment have free access to medicines.