No one was injured in the attacks, The Daily Star said.
The first explosion occurred at 4:55 a.m. in a restaurant at the Queen Elissa Hotel, damaging several cars, including that of a U.N. officer who works for the U.N. Truce Supervision Organization, the newspaper said. The ground floor restaurant suffered extensive damage.
The second explosion occurred in a liquor shop nearby, the Lebanese daily said.
Following the attack, police and security forces cordoned off the area and prevented photographers and reporters from approaching the sites.
Lebanon's Interior Minister Marwan Charbel denied the U.N. peacekeepers were the target of the attacks and said it appears they were carried out by groups who oppose the sale of alcohol, the Lebanese Web site Naharnet.com said.
No one claimed responsibility for the attacks.