In an interview with Kurir, he also said that he knew who was behind this and that he believed the competent authorities would investigate the matter.
Security experts say an urgent and thorough investigation is needed, the Serbian newspaper reports.
Vucic also stated that there was evidence of his claims, his recorded conversations.
According to "Kurir", wiretapping the president of a country is a serious crime and an attempt to overthrow the constitutional order.
Serbian Interior Minister Aleksandar Vulin stated today that the services are working to investigate this issue.